To find the value of X that is proportional to Y, we can set up a proportion:
X/Y = 10/(5/4)
To solve this proportion, we can multiply both sides by the reciprocal of (5/4), which is (4/5):
(X/Y) * (4/5) = 10
Simplifying, we have:
4X/5Y = 10
To isolate X, we can multiply both sides by (5Y/4):
(4X/5Y) * (5Y/4) = 10 * (5Y/4)
4X = 50Y/4
Simplifying further:
4X = 12.5Y
Finally, we can divide both sides by 4 to solve for X:
X = 12.5Y/4
Therefore, X is proportional to Y with a factor of 12.5/4 or 3.125.