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Finding the Fourth Proportional to 8,262.64, 12,397.56 and 3,879.76

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Solution

The fourth proportional to 8,262.64, 12,397.56 and 3,879.76 is: 5,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.64 : 12,397.56 = 3,879.76 : x
  2. Step 2: Convert to fraction form
    8,262.64/12,397.56 = 3,879.76/x
  3. Step 3: Cross multiply
    8,262.64x = 12,397.56 × 3,879.76
  4. Step 4: Simplify right side
    8,262.64x = 48,099,557.39
  5. Step 5: Solve for x
    x = 48,099,557.39/8,262.64
  6. Step 6: Final answer
    x = 5,821.33

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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.