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Finding the Fourth Proportional to 8,225.20, 12,337.80 and 8,167.60

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Solution

The fourth proportional to 8,225.20, 12,337.80 and 8,167.60 is: 12,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.20 : 12,337.80 = 8,167.60 : x
  2. Step 2: Convert to fraction form
    8,225.20/12,337.80 = 8,167.60/x
  3. Step 3: Cross multiply
    8,225.20x = 12,337.80 × 8,167.60
  4. Step 4: Simplify right side
    8,225.20x = 100,770,215.28
  5. Step 5: Solve for x
    x = 100,770,215.28/8,225.20
  6. Step 6: Final answer
    x = 12,251.40

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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.