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Finding the Fourth Proportional to 8,198.23, 12,305.99 and 3,819.91

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Solution

The fourth proportional to 8,198.23, 12,305.99 and 3,819.91 is: 5,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.23 : 12,305.99 = 3,819.91 : x
  2. Step 2: Convert to fraction form
    8,198.23/12,305.99 = 3,819.91/x
  3. Step 3: Cross multiply
    8,198.23x = 12,305.99 × 3,819.91
  4. Step 4: Simplify right side
    8,198.23x = 47,007,755.16
  5. Step 5: Solve for x
    x = 47,007,755.16/8,198.23
  6. Step 6: Final answer
    x = 5,733.89

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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.