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Finding the Fourth Proportional to 11,691.01, 17,532.87 and 3,898

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Solution

The fourth proportional to 11,691.01, 17,532.87 and 3,898 is: 5,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.01 : 17,532.87 = 3,898 : x
  2. Step 2: Convert to fraction form
    11,691.01/17,532.87 = 3,898/x
  3. Step 3: Cross multiply
    11,691.01x = 17,532.87 × 3,898
  4. Step 4: Simplify right side
    11,691.01x = 68,343,127.26
  5. Step 5: Solve for x
    x = 68,343,127.26/11,691.01
  6. Step 6: Final answer
    x = 5,845.78

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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.