How big is my Giant?

The hero saves the captured giant, and as a reward, the giant presents the hero with a magic ring... However, the ring is made for giant fingers, so the hero decides to wear it as an armband instead.

If the ring is a suitable size to be used as an armband, and assuming the giant has human proportions, just larger, how large must the giant be?

I am struggling to work out how big the giant must be for this scenario to work. It seems that a finger is maybe 1/10th of the radius of a forearm, but does that mean that the giant is 10 times the size of a human? Does it work that way, or does the radius of an appendage scale up at a different rate to the overall size of a creature? I'm a bit stuck.

EDIT: 1:10 appears to have been a significant overestimation on my part. 1:3.6 to 1:4 seem to be the more probable ratios, as suggested by Trish and Chasly.

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How big is my Giant?

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