There are a couple of different table mounting arrangements -- is this on a scissors mount or on poles that stick into sockets?
If this is a pole-and-socket table, are the sockets themselves securely fastened to the underside of the table and the floor? You may have to remove the sockets, fill the holes with plastic wood, and redrill the holes for the screws. Not a difficult project, but it will take a couple of hours.
Finally, it could be that the inside of the sockets are worn -- your trailer is 8 years old, and that is a lot of use. Camping World has new bases: