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Finding the Fourth Proportional to 13,960.92, 20,943.54 and 8,691.87

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Solution

The fourth proportional to 13,960.92, 20,943.54 and 8,691.87 is: 13,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.92 : 20,943.54 = 8,691.87 : x
  2. Step 2: Convert to fraction form
    13,960.92/20,943.54 = 8,691.87/x
  3. Step 3: Cross multiply
    13,960.92x = 20,943.54 × 8,691.87
  4. Step 4: Simplify right side
    13,960.92x = 182,038,527.02
  5. Step 5: Solve for x
    x = 182,038,527.02/13,960.92
  6. Step 6: Final answer
    x = 13,039.15

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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.