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Finding the Fourth Proportional to 8,108.96, 12,163 and 2,486.64

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Solution

The fourth proportional to 8,108.96, 12,163 and 2,486.64 is: 3,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.96 : 12,163 = 2,486.64 : x
  2. Step 2: Convert to fraction form
    8,108.96/12,163 = 2,486.64/x
  3. Step 3: Cross multiply
    8,108.96x = 12,163 × 2,486.64
  4. Step 4: Simplify right side
    8,108.96x = 30,245,002.32
  5. Step 5: Solve for x
    x = 30,245,002.32/8,108.96
  6. Step 6: Final answer
    x = 3,729.83

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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.