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Finding the Fourth Proportional to 8,230.80, 12,346.20 and 8,157.90

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Solution

The fourth proportional to 8,230.80, 12,346.20 and 8,157.90 is: 12,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.80 : 12,346.20 = 8,157.90 : x
  2. Step 2: Convert to fraction form
    8,230.80/12,346.20 = 8,157.90/x
  3. Step 3: Cross multiply
    8,230.80x = 12,346.20 × 8,157.90
  4. Step 4: Simplify right side
    8,230.80x = 100,719,064.98
  5. Step 5: Solve for x
    x = 100,719,064.98/8,230.80
  6. Step 6: Final answer
    x = 12,236.85

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Half scale
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Double scale
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Similar ratio
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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.