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Finding the Fourth Proportional to 3,665.28, 5,497.92 and 2,931.42

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Solution

The fourth proportional to 3,665.28, 5,497.92 and 2,931.42 is: 4,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.28 : 5,497.92 = 2,931.42 : x
  2. Step 2: Convert to fraction form
    3,665.28/5,497.92 = 2,931.42/x
  3. Step 3: Cross multiply
    3,665.28x = 5,497.92 × 2,931.42
  4. Step 4: Simplify right side
    3,665.28x = 16,116,712.65
  5. Step 5: Solve for x
    x = 16,116,712.65/3,665.28
  6. Step 6: Final answer
    x = 4,397.13

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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.