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Finding the Fourth Proportional to 3,607.28, 5,410.92 and 871.28

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Solution

The fourth proportional to 3,607.28, 5,410.92 and 871.28 is: 1,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.28 : 5,410.92 = 871.28 : x
  2. Step 2: Convert to fraction form
    3,607.28/5,410.92 = 871.28/x
  3. Step 3: Cross multiply
    3,607.28x = 5,410.92 × 871.28
  4. Step 4: Simplify right side
    3,607.28x = 4,714,426.38
  5. Step 5: Solve for x
    x = 4,714,426.38/3,607.28
  6. Step 6: Final answer
    x = 1,306.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.