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Finding the Fourth Proportional to 11,904.90, 17,866.31 and 8,147.68

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Solution

The fourth proportional to 11,904.90, 17,866.31 and 8,147.68 is: 12,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.90 : 17,866.31 = 8,147.68 : x
  2. Step 2: Convert to fraction form
    11,904.90/17,866.31 = 8,147.68/x
  3. Step 3: Cross multiply
    11,904.90x = 17,866.31 × 8,147.68
  4. Step 4: Simplify right side
    11,904.90x = 145,568,976.66
  5. Step 5: Solve for x
    x = 145,568,976.66/11,904.90
  6. Step 6: Final answer
    x = 12,227.65

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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.