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Finding the Fourth Proportional to 8,329.64, 12,489.49 and 2,781.47

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Solution

The fourth proportional to 8,329.64, 12,489.49 and 2,781.47 is: 4,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.64 : 12,489.49 = 2,781.47 : x
  2. Step 2: Convert to fraction form
    8,329.64/12,489.49 = 2,781.47/x
  3. Step 3: Cross multiply
    8,329.64x = 12,489.49 × 2,781.47
  4. Step 4: Simplify right side
    8,329.64x = 34,739,176.45
  5. Step 5: Solve for x
    x = 34,739,176.45/8,329.64
  6. Step 6: Final answer
    x = 4,170.55

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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.