Find the value of 'x' if the numbers are in proportion. 12:16 : : x :28
Answers
Answer:
the above equation can also be wrtten as :
12/16=x/28
Cross multiplication comes into play :
12×28=16×x
336=16×x
336÷16=x
21=x
HOPE THIS HELPED YOU , MATE
Given:
A proportion 12:16 :: x:28.
To Find:
The value of x that satisfies the above proportion is?
Solution:
The given problem can be solved using the concepts of ratios and proportions.
1. The given proportion is 12:16::x:28.
2. Consider a proportion a:b::c:d, the numbers a, b and c, d are said to be in proportion only when the ratio of a and b is equal to the ratio of c and d.
=> a,b and c,d are in proportion only when a:b = c:d.
3. Using the property mentioned above,
=> The ratio of 12 and 16 must be equal to the ratio of x and 28.
=> 12 : 16 = x : 28,
=> (12/16) = (x/28),
=> (3/4) = (x/28),
=> 3 = (x/7),
=> x = 21.
Therefore, the value of x is 21.