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Finding the Fourth Proportional to 15,764.43, 21,755.07 and 8,691.11

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Solution

The fourth proportional to 15,764.43, 21,755.07 and 8,691.11 is: 11,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.43 : 21,755.07 = 8,691.11 : x
  2. Step 2: Convert to fraction form
    15,764.43/21,755.07 = 8,691.11/x
  3. Step 3: Cross multiply
    15,764.43x = 21,755.07 × 8,691.11
  4. Step 4: Simplify right side
    15,764.43x = 189,075,706.43
  5. Step 5: Solve for x
    x = 189,075,706.43/15,764.43
  6. Step 6: Final answer
    x = 11,993.82

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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.