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Finding the Fourth Proportional to 8,221.62, 12,331.80 and 3,027

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Solution

The fourth proportional to 8,221.62, 12,331.80 and 3,027 is: 4,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.62 : 12,331.80 = 3,027 : x
  2. Step 2: Convert to fraction form
    8,221.62/12,331.80 = 3,027/x
  3. Step 3: Cross multiply
    8,221.62x = 12,331.80 × 3,027
  4. Step 4: Simplify right side
    8,221.62x = 37,328,358.60
  5. Step 5: Solve for x
    x = 37,328,358.60/8,221.62
  6. Step 6: Final answer
    x = 4,540.27

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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.