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Finding the Fourth Proportional to 8,013.25, 12,022.31 and 2,819.13

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Solution

The fourth proportional to 8,013.25, 12,022.31 and 2,819.13 is: 4,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.25 : 12,022.31 = 2,819.13 : x
  2. Step 2: Convert to fraction form
    8,013.25/12,022.31 = 2,819.13/x
  3. Step 3: Cross multiply
    8,013.25x = 12,022.31 × 2,819.13
  4. Step 4: Simplify right side
    8,013.25x = 33,892,454.79
  5. Step 5: Solve for x
    x = 33,892,454.79/8,013.25
  6. Step 6: Final answer
    x = 4,229.55

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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.