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Finding the Fourth Proportional to 8,209.71, 12,308.94 and 2,944.61

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Solution

The fourth proportional to 8,209.71, 12,308.94 and 2,944.61 is: 4,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.71 : 12,308.94 = 2,944.61 : x
  2. Step 2: Convert to fraction form
    8,209.71/12,308.94 = 2,944.61/x
  3. Step 3: Cross multiply
    8,209.71x = 12,308.94 × 2,944.61
  4. Step 4: Simplify right side
    8,209.71x = 36,245,001.38
  5. Step 5: Solve for x
    x = 36,245,001.38/8,209.71
  6. Step 6: Final answer
    x = 4,414.89

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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.