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Finding the Fourth Proportional to 12,149.76, 18,182.88 and 7,704.96

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Solution

The fourth proportional to 12,149.76, 18,182.88 and 7,704.96 is: 11,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.76 : 18,182.88 = 7,704.96 : x
  2. Step 2: Convert to fraction form
    12,149.76/18,182.88 = 7,704.96/x
  3. Step 3: Cross multiply
    12,149.76x = 18,182.88 × 7,704.96
  4. Step 4: Simplify right side
    12,149.76x = 140,098,363.08
  5. Step 5: Solve for x
    x = 140,098,363.08/12,149.76
  6. Step 6: Final answer
    x = 11,530.96

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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.