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Finding the Fourth Proportional to 15,765.11, 21,756 and 8,691.80

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Solution

The fourth proportional to 15,765.11, 21,756 and 8,691.80 is: 11,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.11 : 21,756 = 8,691.80 : x
  2. Step 2: Convert to fraction form
    15,765.11/21,756 = 8,691.80/x
  3. Step 3: Cross multiply
    15,765.11x = 21,756 × 8,691.80
  4. Step 4: Simplify right side
    15,765.11x = 189,098,800.80
  5. Step 5: Solve for x
    x = 189,098,800.80/15,765.11
  6. Step 6: Final answer
    x = 11,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.