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Finding the Fourth Proportional to 11,691, 17,537.09 and 3,900.42

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Solution

The fourth proportional to 11,691, 17,537.09 and 3,900.42 is: 5,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691 : 17,537.09 = 3,900.42 : x
  2. Step 2: Convert to fraction form
    11,691/17,537.09 = 3,900.42/x
  3. Step 3: Cross multiply
    11,691x = 17,537.09 × 3,900.42
  4. Step 4: Simplify right side
    11,691x = 68,401,997.08
  5. Step 5: Solve for x
    x = 68,401,997.08/11,691
  6. Step 6: Final answer
    x = 5,850.83

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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.