West Virginia is about 3.1 times smaller than South Dakota.

South Dakota is approximately 196,540 sq km, while West Virginia is approximately 62,361 sq km, making West Virginia 31.73% the size of South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (1.0 million more people live in West Virginia).
Tip: This to-scale comparison of South Dakota vs. West Virginia uses the Mercator projection, which distorts the size of regions near the poles.