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Finding the Fourth Proportional to 15,205.72, 22,771.82 and 11,691.40

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Solution

The fourth proportional to 15,205.72, 22,771.82 and 11,691.40 is: 17,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.72 : 22,771.82 = 11,691.40 : x
  2. Step 2: Convert to fraction form
    15,205.72/22,771.82 = 11,691.40/x
  3. Step 3: Cross multiply
    15,205.72x = 22,771.82 × 11,691.40
  4. Step 4: Simplify right side
    15,205.72x = 266,234,456.35
  5. Step 5: Solve for x
    x = 266,234,456.35/15,205.72
  6. Step 6: Final answer
    x = 17,508.84

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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.