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Finding the Fourth Proportional to 11,691.93, 17,540.52 and 6,147.90

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Solution

The fourth proportional to 11,691.93, 17,540.52 and 6,147.90 is: 9,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.93 : 17,540.52 = 6,147.90 : x
  2. Step 2: Convert to fraction form
    11,691.93/17,540.52 = 6,147.90/x
  3. Step 3: Cross multiply
    11,691.93x = 17,540.52 × 6,147.90
  4. Step 4: Simplify right side
    11,691.93x = 107,837,362.91
  5. Step 5: Solve for x
    x = 107,837,362.91/11,691.93
  6. Step 6: Final answer
    x = 9,223.23

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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.