Question

361:6859::1225:? Find the next number

Answer 1

SOLUTION

GIVEN

361 : 6859 :: 1225 : ?

TO DETERMINE

The number

CONCEPT TO BE IMPLEMENTED

If a : b :: c : d then

$\implies \displaystyle \sf{ \frac{a}{b} = \frac{c}{d} }$

$\implies \displaystyle \sf{ ad = bc }$

EVALUATION

Here it is given that

361 : 6859 :: 1225 : ?

Let x be the number

Then 361 : 6859 :: 1225 : x

Which gives

$\displaystyle \sf{ \frac{361}{6859} = \frac{1225}{x} }$

$\implies \displaystyle \sf{ \frac{361}{361 \times 19} = \frac{1225}{x} }$

$\implies \displaystyle \sf{ \frac{1}{ 19} = \frac{1225}{x} }$

$\implies \displaystyle \sf{ x = 1225 \times 19 }$

$\implies \displaystyle \sf{ x = 23275 }$

FINAL ANSWER

Hence the required number = 23275

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Answer 2

Given : 361:6859::1225:?

To  Find  : the next number

Solution:

361:6859::1225:?

Considering it logical/reasoning problem

361 = 19²

6859  = 19³

1225 = 35²

? = 35³

=> ? = 42,875

Next number is 42875

Logic is

x² : x³ :: y² : y³

Considering proportion problem :

361:6859::1225:?

=> 361/6859  = 1225/ ?

=> 1/19  = 1225/?

=> ? = 1225 x 19

=> ? = 23,275

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