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Finding the Fourth Proportional to 13,938.40, 20,871.95 and 7,691.48

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Solution

The fourth proportional to 13,938.40, 20,871.95 and 7,691.48 is: 11,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.40 : 20,871.95 = 7,691.48 : x
  2. Step 2: Convert to fraction form
    13,938.40/20,871.95 = 7,691.48/x
  3. Step 3: Cross multiply
    13,938.40x = 20,871.95 × 7,691.48
  4. Step 4: Simplify right side
    13,938.40x = 160,536,245.04
  5. Step 5: Solve for x
    x = 160,536,245.04/13,938.40
  6. Step 6: Final answer
    x = 11,517.55

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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.