To find the value of x in the proportion x : 15 = 4x : 2 : 35, we can use the concept of cross-multiplication. In proportions, the product of the means equals the product of the extremes.
First, break down the proportion:
x / 15 = 4x / 2
Cross-multiply:
x * 2 = 4x * 15
This simplifies to:
2x = 60x
Now, rearranging gives:
60x – 2x = 0
58x = 0
This means:
x = 0
Now, let’s check this in the part of the proportion that was given as 4x : 2 : 35:
Substituting x = 0 gives:
4(0) : 2 = 0 : 2
This means the value also holds true as the other side becomes:
0 : 35
Thus, from both segments of the proportion, we can conclude that the value of x is 0.