Question

Determine if the ratios are in proportion

$20cm:4m::40cm:8m$

Answer 1

Step-1: Convert $4m$and $8m$in $cm$

$4m$$=4\times 100=$$400cm$ ( As $1m=100cm$)

$8m$$=8\times 100=$$800cm$ ( As $1m=100cm$)

Now, $20cm:4m::40cm:8m$equivalent to $20cm:400cm::40cm:800cm$

Step-2: write $a,b,candd$ from $20cm:400cm::40cm:800cm$as it is written $a:b::c:d$

Here, $a=20cm$ $b=400cm$ $c=40cm$ $d=800cm$

Step-3: check whether $a\times d=c\times b$or $not$

$a\times d=20\times 800=16000$

$c\times b=400\times 40=16000$

Here, $16000=16000$

$a\times d=c\times b$

Hence, $20cm:4m::40cm:8m$are in proportion