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Finding the Fourth Proportional to 13,546.98, 20,306.52 and 7,691.22

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Solution

The fourth proportional to 13,546.98, 20,306.52 and 7,691.22 is: 11,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.98 : 20,306.52 = 7,691.22 : x
  2. Step 2: Convert to fraction form
    13,546.98/20,306.52 = 7,691.22/x
  3. Step 3: Cross multiply
    13,546.98x = 20,306.52 × 7,691.22
  4. Step 4: Simplify right side
    13,546.98x = 156,181,912.75
  5. Step 5: Solve for x
    x = 156,181,912.75/13,546.98
  6. Step 6: Final answer
    x = 11,528.91

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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.