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Finding the Fourth Proportional to 13,932.68, 20,902.49 and 6,915.99

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Solution

The fourth proportional to 13,932.68, 20,902.49 and 6,915.99 is: 10,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.68 : 20,902.49 = 6,915.99 : x
  2. Step 2: Convert to fraction form
    13,932.68/20,902.49 = 6,915.99/x
  3. Step 3: Cross multiply
    13,932.68x = 20,902.49 × 6,915.99
  4. Step 4: Simplify right side
    13,932.68x = 144,561,411.82
  5. Step 5: Solve for x
    x = 144,561,411.82/13,932.68
  6. Step 6: Final answer
    x = 10,375.71

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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.