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Finding the Fourth Proportional to 8,159.89, 12,238 and 3,995.73

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Solution

The fourth proportional to 8,159.89, 12,238 and 3,995.73 is: 5,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.89 : 12,238 = 3,995.73 : x
  2. Step 2: Convert to fraction form
    8,159.89/12,238 = 3,995.73/x
  3. Step 3: Cross multiply
    8,159.89x = 12,238 × 3,995.73
  4. Step 4: Simplify right side
    8,159.89x = 48,899,743.74
  5. Step 5: Solve for x
    x = 48,899,743.74/8,159.89
  6. Step 6: Final answer
    x = 5,992.70

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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.