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Finding the Fourth Proportional to 5,415.60, 7,471.60 and 3,057.24

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Solution

The fourth proportional to 5,415.60, 7,471.60 and 3,057.24 is: 4,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.60 : 7,471.60 = 3,057.24 : x
  2. Step 2: Convert to fraction form
    5,415.60/7,471.60 = 3,057.24/x
  3. Step 3: Cross multiply
    5,415.60x = 7,471.60 × 3,057.24
  4. Step 4: Simplify right side
    5,415.60x = 22,842,474.38
  5. Step 5: Solve for x
    x = 22,842,474.38/5,415.60
  6. Step 6: Final answer
    x = 4,217.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.