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Finding the Fourth Proportional to 3,432, 5,148.24 and 1,351.92

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Solution

The fourth proportional to 3,432, 5,148.24 and 1,351.92 is: 2,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432 : 5,148.24 = 1,351.92 : x
  2. Step 2: Convert to fraction form
    3,432/5,148.24 = 1,351.92/x
  3. Step 3: Cross multiply
    3,432x = 5,148.24 × 1,351.92
  4. Step 4: Simplify right side
    3,432x = 6,960,008.62
  5. Step 5: Solve for x
    x = 6,960,008.62/3,432
  6. Step 6: Final answer
    x = 2,027.97

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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.