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Finding the Fourth Proportional to 8,183.92, 12,257.16 and 6,424.92

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Solution

The fourth proportional to 8,183.92, 12,257.16 and 6,424.92 is: 9,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.92 : 12,257.16 = 6,424.92 : x
  2. Step 2: Convert to fraction form
    8,183.92/12,257.16 = 6,424.92/x
  3. Step 3: Cross multiply
    8,183.92x = 12,257.16 × 6,424.92
  4. Step 4: Simplify right side
    8,183.92x = 78,751,272.43
  5. Step 5: Solve for x
    x = 78,751,272.43/8,183.92
  6. Step 6: Final answer
    x = 9,622.68

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1.5x scale

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.