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Finding the Fourth Proportional to 3,491.92, 4,819.80 and 2,252.08

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Solution

The fourth proportional to 3,491.92, 4,819.80 and 2,252.08 is: 3,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.92 : 4,819.80 = 2,252.08 : x
  2. Step 2: Convert to fraction form
    3,491.92/4,819.80 = 2,252.08/x
  3. Step 3: Cross multiply
    3,491.92x = 4,819.80 × 2,252.08
  4. Step 4: Simplify right side
    3,491.92x = 10,854,575.18
  5. Step 5: Solve for x
    x = 10,854,575.18/3,491.92
  6. Step 6: Final answer
    x = 3,108.48

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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.