Yes you can, move the unallocated space to the extended.If the unallocated space is behind sda4 click on? sda 4 put your pointer in middle & drag it to the right, then do the same to sda3.
Next select the extended partition & grab the right edge & slide to take up the additional space. Now you have useable unallocated space

According to your output, you should have 129Gb spare on your disk, so go into one of your systems & sub divide it into partitions, then try installing into one of the new partitions.

If it was me...
And those distros haven't had much use...

Then I would wipe the disk and reinstall the distros mostly into logical partitions.
Usage stats would allow me to choose partition sizes that wouldn't be wasteful in space.

You are better off using the live-cd because the gparted that's on your system won't move the partition tht it's being running from.
Also you would be able to perform all of the operations in 1 session.

I have run into problems not all relating to the question before the board, as it were? Using the ‘Gparted Live Disc’, I resized sda4 to take up all but 3GB of what was unallocated space. I was not able to move/expand whatever with sda3. It as not until later when I reread the comments did I realize I had gotten the whole business wrong.

I was running a dual boot Manjaro along with PCLinuxOS. On the FCLOS side if things I had installed Kernels 3.19.5 and 4.0.4 through Synaptic, but they were not listed along with the one other. I queried the issue to their forum and was directed to a solution, which unfortunately had consequences for the dual boot of PCLOS and Manjaro.

When I had installed kernels 3.19.5 as well as kernel 4.0.4 on PCLOS, I always received a note telling me no ‘bootloader’ was found. I was directed to the PCLinuxOS Control Center or PCC and told to go to BOOT, where I installed a bootloader for my PCLOS and subsequently got the two newly installed kernels on the list.

I should also mention I had a couple days before this whole mess began installed grub2 on my PCLOS. So, when I booted to Manjaro as a test of zords, I could get Manjaro to open. I could get back to PCLOS which I did. I had the idea, which would prove wrong later, that I could install Manjaro again but this time unchecked the box that says Manjaro will use this bootloader, and continue with the installation.

At the point where you are informed the installation i complete and would you like to restart your PC, I was hoping that the bootloader in PCLOS would handle Manjaro. However when my PC booted up I was greeted with a GRUB Rescue screen. I had not seen one of those in quite a while and did not know what to to, so I restated and directed my PC to go to PCLOS where I was greeted with a GRUB Rescue screen.

Obviously I had screwed things up when I had unchecked that box in Manjaro. Initially I installed PCLOS first then Manjaro whose ‘bootloader’ superseded the PCLOS ‘bootloader’. I had been okay with that arrangement until the business over in PCLOS about my inability to access and put to use the new kernels.

I did not know how to work through the grub rescue scenario an was left with a quandary as what I should do next?

I then decided to reinstall PCLinuxOS and try to make it ‘logical’ or extended or whatever. When I was at the place where I could select how to partition my distro. I was looking for something that indicated either extended or logical and came away with nothing except for something which read LVM. I did not check it out and continued with the installation of my PCLinuxOS.

That is how it stands at the moment. I would like to install a second disro not necessarily Manjaro but whichever one, have it as logical one with the remaining unallocated space as ‘extended’ or vice versa?

herakles_14

You only need ONE bootloader - this can load an appropriate kernel (depending on distro).
Each distro you load knows about the existence of the other distros (unless you overwrite them).
Normally the bootloader is put in sda.

Restrictions on Partitions.
===========================

You are allowed a maximum of either:-
4 primary partitions or
3 primary partitions + one extended partition.

An extended partition can contain a maximum of at least 10 logical partitions (maybe more).

A partition is an area of contiguous storage - you can't break it into separate pieces.
You need to layout your storage to meet the above limitations.