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Finding the Fourth Proportional to 8,249.76, 12,371.76 and 3,318.12

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Solution

The fourth proportional to 8,249.76, 12,371.76 and 3,318.12 is: 4,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.76 : 12,371.76 = 3,318.12 : x
  2. Step 2: Convert to fraction form
    8,249.76/12,371.76 = 3,318.12/x
  3. Step 3: Cross multiply
    8,249.76x = 12,371.76 × 3,318.12
  4. Step 4: Simplify right side
    8,249.76x = 41,050,984.29
  5. Step 5: Solve for x
    x = 41,050,984.29/8,249.76
  6. Step 6: Final answer
    x = 4,976.02

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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.