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Finding the Fourth Proportional to 8,287.88, 12,431.85 and 3,357.61

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Solution

The fourth proportional to 8,287.88, 12,431.85 and 3,357.61 is: 5,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.88 : 12,431.85 = 3,357.61 : x
  2. Step 2: Convert to fraction form
    8,287.88/12,431.85 = 3,357.61/x
  3. Step 3: Cross multiply
    8,287.88x = 12,431.85 × 3,357.61
  4. Step 4: Simplify right side
    8,287.88x = 41,741,224.93
  5. Step 5: Solve for x
    x = 41,741,224.93/8,287.88
  6. Step 6: Final answer
    x = 5,036.42

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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.