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Finding the Fourth Proportional to 13,614.38, 20,406.26 and 6,932.13

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Solution

The fourth proportional to 13,614.38, 20,406.26 and 6,932.13 is: 10,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.38 : 20,406.26 = 6,932.13 : x
  2. Step 2: Convert to fraction form
    13,614.38/20,406.26 = 6,932.13/x
  3. Step 3: Cross multiply
    13,614.38x = 20,406.26 × 6,932.13
  4. Step 4: Simplify right side
    13,614.38x = 141,458,787.94
  5. Step 5: Solve for x
    x = 141,458,787.94/13,614.38
  6. Step 6: Final answer
    x = 10,390.40

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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.