South Georgia and South Sandwich Islands is about 35 times smaller than Arkansas.

Arkansas is approximately 134,856 sq km, while South Georgia and South Sandwich Islands is approximately 3,903 sq km, making South Georgia and South Sandwich Islands 2.89% the size of Arkansas.
Tip: This to-scale comparison of Arkansas vs. South Georgia and South Sandwich Islands uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: South Georgia and South Sandwich Islands vs. Arkansas