To solve for x and y in the given proportion x:3:9/2=15/4:4 1/2:y, we can use cross multiplication to find the values of x and y.
First, let’s rewrite the proportion to make it easier to work with:
x:3 = 9/2:15/4 = 4 1/2:y
Now, we can cross multiply the terms:
x (15/4) = 3 (9/2)
This simplifies to:
15x/4 = 27/2
To solve for x, we can multiply both sides by 4 to get rid of the fraction:
15x = 27 * 2
15x = 54
Dividing both sides by 15 gives us:
x = 54/15 x = 3.6
Now that we have found the value of x, we can use it to find y. We’ll rewrite the proportion with the known value of x:
3.6:3=9/2:15/4=4 1/2:y
Cross multiplying again gives us:
3.6 (4 1/2) = 3 (9/2)
Converting 4 1/2 to an improper fraction gives us:
3.6 (9/2) = 3 (9/2)
Solving for y, we get:
y = (3.6 * 9)/3 y = 10.8
Therefore, the value of x is 3.6 and the value of y is 10.8