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Finding the Fourth Proportional to 8,167.60, 12,245.40 and 3,234.80

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Solution

The fourth proportional to 8,167.60, 12,245.40 and 3,234.80 is: 4,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.60 : 12,245.40 = 3,234.80 : x
  2. Step 2: Convert to fraction form
    8,167.60/12,245.40 = 3,234.80/x
  3. Step 3: Cross multiply
    8,167.60x = 12,245.40 × 3,234.80
  4. Step 4: Simplify right side
    8,167.60x = 39,611,419.92
  5. Step 5: Solve for x
    x = 39,611,419.92/8,167.60
  6. Step 6: Final answer
    x = 4,849.82

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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.