Does it have to be in a certain position? If not, find one of the studs (or the ceiling equivalent word) and drill into that?
If it's central I'd personally be a little worried about 3.8kg hanging from a ceiling. I'm not sure what the maximum load for plasterboard is.
You don't need access to the back directly. Although of course the job would be a lot less messy! You.can cut one or two holes to feed in wooden batons. You have to grip them in the hole then screw in from the front.
Or make a hole big enough to use a torch and mirror to see what you can secure to if you don't have a finder.