Question

find if the following numbers are in proportion 2,7,16,90

Answer 1

Answer: 2500 km

Step-by-step explanation:

Scale = 2cm

Actual Distance = 1000 km

Actual distance if the distance on the map is 1 km = (1000/2) x 1

Actual distance if the distance on the map is 5km = (1000/2) x 5

                                                                                   = 500 x 5

                                                                                   = 2500 km

Answer 2

Given numbers: $2,7,16,90$.

We know that, numbers are in proportion if ratio of first two numbers is equal to the ratio of last two numbers.

Ratio of first two numbers: $(2:7)$:-

$= \frac {2} {7}$  (both are prime numbers)

Ratio of last two numbers: $(16:90)$:-

$= \frac {16} {90}$

$= \frac {(16\div2)} {(90\div2)}$ (divide numerator and denominator by $2$)

$= \frac {8} {45}$

Here, $\frac {2} {7} \neq \frac {8} {45}$.

Hence, given numbers are not in proportion.