To set up the proportion based on the information that the paths from the whales to the sharks and from the penguins to the fish tanks are parallel, we can assume they share a similar relationship.
Step 1: Set up the proportion
Let's denote the distance from the whales to the sharks as \(5430\) feet and let \(x\) represent the unknown distance from the penguins to the fish tanks. If we know a specific distance that corresponds to \(x\), we can set it up proportionally.
For example, if we know the corresponding distance related to \(x\) is \(30\) (as given in the second part of your question), we could set up the proportion like this:
\[ \frac{5430}{30} = \frac{x}{\text{other distance}} \]
Step 2: Cross Multiply
If \(x\) directly relates to the distance between the penguins and fish tanks, we can rewrite the equation as:
\[ 5430 \cdot \text{other distance} = 30 \cdot x \]
However, without knowing "other distance," we can isolate 30:
\[ 30x = 5430 \cdot \text{other distance} \]
Step 3: Solve for \(x\)
To isolate \(x\), here's how you would solve for it:
\[ x = \frac{5430 \cdot \text{other distance}}{30} \]
Quantitative Answer
If we know:
- "other distance" (let's assume it's \(1\) for simplicity), then:
\[ x = \frac{5430}{30} \]
Calculating:
\[ x = 181 \]
Complete Responses
- Set up the proportion: \(5430 = 30x\)
- Cross Multiply: \(30x=5430\)
- Solve for \(x\): \(x = 181\) feet
Please fill the placeholders with the numbers specific to your situation if "other distance" is not 1!