Question

If the following given four terms are in proportion, calculate the value of x:

a) 2, 4, 6, x
b) 6, 10, x, 5
c) 18, x, 30, 45
d) 50, 150, x, 15
e) x, 40, 30, 20

A) 8
B) 15
C) 27
D) 100
E) 60

Answer 1

To find the value of x in a proportion, we set up an equation where the ratios are equal. The value of x is: a) 4, b) 3, c) 27, d) 5, e) 60.

Step-by-step explanation:

To find the value of x in a proportion, we need to set up an equation where the ratios of the given terms are equal. Let's go through each option:

a) 2:4 = 6:x

1. First, we can simplify the ratio to 1:2
2. Since the ratio is 1:2, we can substitute the values to find x: 2 * 2 = 4
3. Therefore, x = 4

b) 6:10 = x:5

1. We can cross multiply to find x: 6 * 5 = 10 * x
2. Simplifying, we get 30 = 10x
3. Dividing both sides by 10, we find x = 3

c) 18:x = 30:45

1. Again, we can cross multiply to find x: 18 * 45 = 30 * x
2. Simplifying, we get 810 = 30x
3. Dividing both sides by 30, we find x = 27

d) 50:150 = x:15

1. Cross multiplying, we get 50 * 15 = 150 * x
2. Simplifying, we find 750 = 150x
3. Dividing both sides by 150, we find x = 5

e) x:40 = 30:20

1. Once again, cross multiplying we find x * 20 = 30 * 40
2. Simplifying, we get 20x = 1200
3. Dividing both sides by 20, we find x = 60

So, the value of x for each option is: a) 4, b) 3, c) 27, d) 5, e) 60.