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Finding the Fourth Proportional to 8,327.70, 12,479.22 and 3,643.38

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Solution

The fourth proportional to 8,327.70, 12,479.22 and 3,643.38 is: 5,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.70 : 12,479.22 = 3,643.38 : x
  2. Step 2: Convert to fraction form
    8,327.70/12,479.22 = 3,643.38/x
  3. Step 3: Cross multiply
    8,327.70x = 12,479.22 × 3,643.38
  4. Step 4: Simplify right side
    8,327.70x = 45,466,540.56
  5. Step 5: Solve for x
    x = 45,466,540.56/8,327.70
  6. Step 6: Final answer
    x = 5,459.68

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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.