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Finding the Fourth Proportional to 11,892.89, 17,839.31 and 3,127.82

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Solution

The fourth proportional to 11,892.89, 17,839.31 and 3,127.82 is: 4,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.89 : 17,839.31 = 3,127.82 : x
  2. Step 2: Convert to fraction form
    11,892.89/17,839.31 = 3,127.82/x
  3. Step 3: Cross multiply
    11,892.89x = 17,839.31 × 3,127.82
  4. Step 4: Simplify right side
    11,892.89x = 55,798,045.77
  5. Step 5: Solve for x
    x = 55,798,045.77/11,892.89
  6. Step 6: Final answer
    x = 4,691.71

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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.