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Finding the Fourth Proportional to 3,876.80, 5,806.02 and 2,951.24

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Solution

The fourth proportional to 3,876.80, 5,806.02 and 2,951.24 is: 4,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,806.02 = 2,951.24 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,806.02 = 2,951.24/x
  3. Step 3: Cross multiply
    3,876.80x = 5,806.02 × 2,951.24
  4. Step 4: Simplify right side
    3,876.80x = 17,134,958.46
  5. Step 5: Solve for x
    x = 17,134,958.46/3,876.80
  6. Step 6: Final answer
    x = 4,419.87

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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.