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Finding the Fourth Proportional to 13,711.31, 18,928.18 and 8,677.97

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Solution

The fourth proportional to 13,711.31, 18,928.18 and 8,677.97 is: 11,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.31 : 18,928.18 = 8,677.97 : x
  2. Step 2: Convert to fraction form
    13,711.31/18,928.18 = 8,677.97/x
  3. Step 3: Cross multiply
    13,711.31x = 18,928.18 × 8,677.97
  4. Step 4: Simplify right side
    13,711.31x = 164,258,061.86
  5. Step 5: Solve for x
    x = 164,258,061.86/13,711.31
  6. Step 6: Final answer
    x = 11,979.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.