A ratio is equal to 3:8 if the antecedent is 21 find the consequent​

56

Step-by-step explanation:

To find the "consequent," write out and solve an equation of ratios:

  3         x

=

  8         21

Through cross-multiplication, this yields  8x = 63, so that x must be x = 63/8.

Alternatively, solve this modified version of the original equation for x:

  3         21

=

  8          x

Then 3x = 8(21), or x = 8(7), or x = 56.

Note that 21 and 56 are in the ratio 3:8