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Finding the Fourth Proportional to 8,981.92, 13,472.40 and 3,138.40

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Solution

The fourth proportional to 8,981.92, 13,472.40 and 3,138.40 is: 4,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.92 : 13,472.40 = 3,138.40 : x
  2. Step 2: Convert to fraction form
    8,981.92/13,472.40 = 3,138.40/x
  3. Step 3: Cross multiply
    8,981.92x = 13,472.40 × 3,138.40
  4. Step 4: Simplify right side
    8,981.92x = 42,281,780.16
  5. Step 5: Solve for x
    x = 42,281,780.16/8,981.92
  6. Step 6: Final answer
    x = 4,707.43

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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.