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Finding the Fourth Proportional to 3,879.82, 5,819.62 and 1,688.55

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Solution

The fourth proportional to 3,879.82, 5,819.62 and 1,688.55 is: 2,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.82 : 5,819.62 = 1,688.55 : x
  2. Step 2: Convert to fraction form
    3,879.82/5,819.62 = 1,688.55/x
  3. Step 3: Cross multiply
    3,879.82x = 5,819.62 × 1,688.55
  4. Step 4: Simplify right side
    3,879.82x = 9,826,719.35
  5. Step 5: Solve for x
    x = 9,826,719.35/3,879.82
  6. Step 6: Final answer
    x = 2,532.78

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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.