Question

Find the value of x : a) 5 : x : : 25 : 10 , b) 8 : 20 : : x : 5 , c) x : 12 : : 5 : 6​

Answer 1

Step-by-step explanation:

Solutions :-

a)

Given that 5 : x : : 25 : 10

Product of means = x×25 = 25x

Product of extremes = 5×10 = 50

We know that

In proportion, Product of means = Product of extremes

=> 25x = 50

=> x = 50/25

=> x = 2

The value of x = 2

b)

Given that 8 : 20 : : x : 5

Product of means = 20×x = 20x

Product of extremes = 8×5 = 40

We know that

In proportion, Product of means = Product of extremes

=> 20x = 40

=> x = 40/20

=> x = 2

The value of x = 2

c)

Given that x : 12 : : 5 : 6

Product of means = 12×5 = 60

Product of extremes = x×6 = 6x

We know that

In proportion, Product of means = Product of extremes

=> 60 = 6x

=> 6x = 60

=> x = 60/6

=> x = 10

The value of x = 10

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Solutions :-

a)

Given that 5 : x : : 25 : 10

Product of means = x×25 = 25x

Product of extremes = 5×10 = 50

We know that

In proportion, Product of means = Product of extremes

=> 25x = 50

=> x = 50/25

=> x = 2

The value of x = 2

b)

Given that 8 : 20 : : x : 5

Product of means = 20×x = 20x

Product of extremes = 8×5 = 40

We know that

In proportion, Product of means = Product of extremes

=> 20x = 40

=> x = 40/20

=> x = 2

The value of x = 2

c)

Given that x : 12 : : 5 : 6

Product of means = 12×5 = 60

Product of extremes = x×6 = 6x

We know that

In proportion, Product of means = Product of extremes

=> 60 = 6x

=> 6x = 60

=> x = 60/6

=> x = 10

The value of x = 10

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