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Finding the Fourth Proportional to 3,879.02, 5,819.45 and 1,105.74

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Solution

The fourth proportional to 3,879.02, 5,819.45 and 1,105.74 is: 1,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.02 : 5,819.45 = 1,105.74 : x
  2. Step 2: Convert to fraction form
    3,879.02/5,819.45 = 1,105.74/x
  3. Step 3: Cross multiply
    3,879.02x = 5,819.45 × 1,105.74
  4. Step 4: Simplify right side
    3,879.02x = 6,434,793.11
  5. Step 5: Solve for x
    x = 6,434,793.11/3,879.02
  6. Step 6: Final answer
    x = 1,658.87

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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.