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Finding the Fourth Proportional to 8,105.88, 12,158.82 and 1,949.88

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Solution

The fourth proportional to 8,105.88, 12,158.82 and 1,949.88 is: 2,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.88 : 12,158.82 = 1,949.88 : x
  2. Step 2: Convert to fraction form
    8,105.88/12,158.82 = 1,949.88/x
  3. Step 3: Cross multiply
    8,105.88x = 12,158.82 × 1,949.88
  4. Step 4: Simplify right side
    8,105.88x = 23,708,239.94
  5. Step 5: Solve for x
    x = 23,708,239.94/8,105.88
  6. Step 6: Final answer
    x = 2,924.82

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Similar ratio
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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.