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Finding the Fourth Proportional to 12,102.54, 18,149.20 and 7,173.56

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Solution

The fourth proportional to 12,102.54, 18,149.20 and 7,173.56 is: 10,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.54 : 18,149.20 = 7,173.56 : x
  2. Step 2: Convert to fraction form
    12,102.54/18,149.20 = 7,173.56/x
  3. Step 3: Cross multiply
    12,102.54x = 18,149.20 × 7,173.56
  4. Step 4: Simplify right side
    12,102.54x = 130,194,375.15
  5. Step 5: Solve for x
    x = 130,194,375.15/12,102.54
  6. Step 6: Final answer
    x = 10,757.61

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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.