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Finding the Fourth Proportional to 8,531.07, 12,797.82 and 2,987.66

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Solution

The fourth proportional to 8,531.07, 12,797.82 and 2,987.66 is: 4,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.07 : 12,797.82 = 2,987.66 : x
  2. Step 2: Convert to fraction form
    8,531.07/12,797.82 = 2,987.66/x
  3. Step 3: Cross multiply
    8,531.07x = 12,797.82 × 2,987.66
  4. Step 4: Simplify right side
    8,531.07x = 38,235,470.91
  5. Step 5: Solve for x
    x = 38,235,470.91/8,531.07
  6. Step 6: Final answer
    x = 4,481.91

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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.