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Finding the Fourth Proportional to 3,402.52, 5,102.84 and 936.76

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Solution

The fourth proportional to 3,402.52, 5,102.84 and 936.76 is: 1,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.52 : 5,102.84 = 936.76 : x
  2. Step 2: Convert to fraction form
    3,402.52/5,102.84 = 936.76/x
  3. Step 3: Cross multiply
    3,402.52x = 5,102.84 × 936.76
  4. Step 4: Simplify right side
    3,402.52x = 4,780,136.40
  5. Step 5: Solve for x
    x = 4,780,136.40/3,402.52
  6. Step 6: Final answer
    x = 1,404.88

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