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Finding the Fourth Proportional to 8,129.78, 12,194.40 and 3,446.78

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Solution

The fourth proportional to 8,129.78, 12,194.40 and 3,446.78 is: 5,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.78 : 12,194.40 = 3,446.78 : x
  2. Step 2: Convert to fraction form
    8,129.78/12,194.40 = 3,446.78/x
  3. Step 3: Cross multiply
    8,129.78x = 12,194.40 × 3,446.78
  4. Step 4: Simplify right side
    8,129.78x = 42,031,414.03
  5. Step 5: Solve for x
    x = 42,031,414.03/8,129.78
  6. Step 6: Final answer
    x = 5,170.06

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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.