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Finding the Fourth Proportional to 12,105.70, 18,149.96 and 4,703.92

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Solution

The fourth proportional to 12,105.70, 18,149.96 and 4,703.92 is: 7,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.70 : 18,149.96 = 4,703.92 : x
  2. Step 2: Convert to fraction form
    12,105.70/18,149.96 = 4,703.92/x
  3. Step 3: Cross multiply
    12,105.70x = 18,149.96 × 4,703.92
  4. Step 4: Simplify right side
    12,105.70x = 85,375,959.84
  5. Step 5: Solve for x
    x = 85,375,959.84/12,105.70
  6. Step 6: Final answer
    x = 7,052.54

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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.