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Finding the Fourth Proportional to 8,318.48, 12,478 and 2,162.48

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Solution

The fourth proportional to 8,318.48, 12,478 and 2,162.48 is: 3,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.48 : 12,478 = 2,162.48 : x
  2. Step 2: Convert to fraction form
    8,318.48/12,478 = 2,162.48/x
  3. Step 3: Cross multiply
    8,318.48x = 12,478 × 2,162.48
  4. Step 4: Simplify right side
    8,318.48x = 26,983,425.44
  5. Step 5: Solve for x
    x = 26,983,425.44/8,318.48
  6. Step 6: Final answer
    x = 3,243.79

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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.