Question

find the fourth proportional to

a) 8, 9, 24​

b) 1/5, 1/9, 1/10

please please answer the right answer please please please​​

Answer 1

Answer:

a) 27

b)

$\frac{1}{18}$

Step-by-step explanation:

a)

Let the fourth proportional be x

Then

As product of means = Product of extremes

So,

$8 \times x = 9 \times 24$

$x = \frac{9 \times 24}{8}$

$x = 9 \times 3$

$x = 27$

b)

Let the fourth proportional be x

Then

As product of means = Product of extremes

So,

$\frac{1}{5} \times x = \frac{1}{9} \times \frac{1}{10}$

$\frac{x}{5} = \frac{1}{90}$

$x = \frac{5}{90}$

$x = \frac{1}{18}$

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Answer 2

(a) 32,64,6

let the fourth proportion be x

=> 32 : 64:: 6: x

=> 32/ 64 = 6/ x

=> x= 6 × 64 /32

=> x= 12

Hence fourth proportion to be 32, 64 ,6 is 12

(b) 8,9,24

let the fourth proportion be x

=> 8:9::24: x

=> 8/9=24/x

=> x = 9× 24/ 8

=> x= 27

Hence fourth proportion to be 8,9,24 is 27