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Finding the Fourth Proportional to 8,195.74, 12,294.88 and 4,245.78

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Solution

The fourth proportional to 8,195.74, 12,294.88 and 4,245.78 is: 6,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.74 : 12,294.88 = 4,245.78 : x
  2. Step 2: Convert to fraction form
    8,195.74/12,294.88 = 4,245.78/x
  3. Step 3: Cross multiply
    8,195.74x = 12,294.88 × 4,245.78
  4. Step 4: Simplify right side
    8,195.74x = 52,201,355.61
  5. Step 5: Solve for x
    x = 52,201,355.61/8,195.74
  6. Step 6: Final answer
    x = 6,369.33

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Half 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.