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Finding the Fourth Proportional to 8,972.40, 13,463.04 and 6,356.76

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Solution

The fourth proportional to 8,972.40, 13,463.04 and 6,356.76 is: 9,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.40 : 13,463.04 = 6,356.76 : x
  2. Step 2: Convert to fraction form
    8,972.40/13,463.04 = 6,356.76/x
  3. Step 3: Cross multiply
    8,972.40x = 13,463.04 × 6,356.76
  4. Step 4: Simplify right side
    8,972.40x = 85,581,314.15
  5. Step 5: Solve for x
    x = 85,581,314.15/8,972.40
  6. Step 6: Final answer
    x = 9,538.29

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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.