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Finding the Fourth Proportional to 7,781.67, 11,672.30 and 3,399.17

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Solution

The fourth proportional to 7,781.67, 11,672.30 and 3,399.17 is: 5,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.67 : 11,672.30 = 3,399.17 : x
  2. Step 2: Convert to fraction form
    7,781.67/11,672.30 = 3,399.17/x
  3. Step 3: Cross multiply
    7,781.67x = 11,672.30 × 3,399.17
  4. Step 4: Simplify right side
    7,781.67x = 39,676,082.13
  5. Step 5: Solve for x
    x = 39,676,082.13/7,781.67
  6. Step 6: Final answer
    x = 5,098.66

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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.