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Finding the Fourth Proportional to 3,493.92, 4,819.80 and 2,077.44

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Solution

The fourth proportional to 3,493.92, 4,819.80 and 2,077.44 is: 2,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.92 : 4,819.80 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    3,493.92/4,819.80 = 2,077.44/x
  3. Step 3: Cross multiply
    3,493.92x = 4,819.80 × 2,077.44
  4. Step 4: Simplify right side
    3,493.92x = 10,012,845.31
  5. Step 5: Solve for x
    x = 10,012,845.31/3,493.92
  6. Step 6: Final answer
    x = 2,865.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.