To set up a proportion to find the distance between the penguins and the fish tank, we first need to define the distances from the whales to the sharks (which we'll call \(d_1\)) and from the penguins to the fish tanks (which we'll call \(d_2\)). We'll assume you've given the following distances:
- Distance from whales to sharks (\(d_1\)): 5430 feet
- Distance from penguins to fish tanks (\(d_2\)): \(x\) feet
Since the paths are parallel, we can set up our proportion as follows:
\[ \frac{d_1}{d_2} = \frac{30}{x} \]
This means we have:
\[ \frac{5430}{x} = \frac{30}{x} \]
Now we can cross multiply to set up the equation:
\[ 30x = 5430 \]
Next, we will solve for \(x\):
\[ x = \frac{5430}{30} \]
Calculating the right side gives us:
\[ x = 181 \]
Therefore, the distance between the penguins and the fish tank is:
181 feet.