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Finding the Fourth Proportional to 39,393, 59,099.76 and 11,691

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Solution

The fourth proportional to 39,393, 59,099.76 and 11,691 is: 17,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,393 : 59,099.76 = 11,691 : x
  2. Step 2: Convert to fraction form
    39,393/59,099.76 = 11,691/x
  3. Step 3: Cross multiply
    39,393x = 59,099.76 × 11,691
  4. Step 4: Simplify right side
    39,393x = 690,935,294.16
  5. Step 5: Solve for x
    x = 690,935,294.16/39,393
  6. Step 6: Final answer
    x = 17,539.54

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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.