To find the number that makes the ratio equivalent to \(54:4\) in the ratio \(27:x\), we can set up a proportion.
We can represent the relationship as: \[ \frac{54}{4} = \frac{27}{x} \]
Next, we can cross-multiply to solve for \(x\): \[ 54x = 27 \times 4 \]
Calculating the right side: \[ 27 \times 4 = 108 \]
Now, the equation becomes: \[ 54x = 108 \]
To find \(x\), divide both sides by 54: \[ x = \frac{108}{54} \]
Simplifying that gives: \[ x = 2 \]
Therefore, the number that makes the ratio equivalent to \(54:4\) is \(2\). Hence, the ratio \(27:2\) is equivalent to \(54:4\).