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Finding the Fourth Proportional to 8,230.74, 12,346.74 and 3,550.86

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Solution

The fourth proportional to 8,230.74, 12,346.74 and 3,550.86 is: 5,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.74 : 12,346.74 = 3,550.86 : x
  2. Step 2: Convert to fraction form
    8,230.74/12,346.74 = 3,550.86/x
  3. Step 3: Cross multiply
    8,230.74x = 12,346.74 × 3,550.86
  4. Step 4: Simplify right side
    8,230.74x = 43,841,545.20
  5. Step 5: Solve for x
    x = 43,841,545.20/8,230.74
  6. Step 6: Final answer
    x = 5,326.56

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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.