NO a Bigger inverter will NOT fix the problem. In fact it might just make it worse. A Bigger BATTERY however might.
IF you have a pair of Group 24 MARINE/deep cycle... in parallel
Consider going to a pair of GC-2 Golf Car batteries in series.
USE HEAVY Cable for the jumper connecting them
NOTE the GC-2 usually fits on a Group 24 tray but it is TALLER so you may need to change the hold down bolts.. It is also not (usually) maintenance free.
It also holds 220 Amp Hours per pair +/- 10 amp hours as opposed to 150 for the Group 24s That is what 40% more power for the same foot print.
They are also HEAVIER.
