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Finding the Fourth Proportional to 3,221.92, 4,829.82 and 1,029.24

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Solution

The fourth proportional to 3,221.92, 4,829.82 and 1,029.24 is: 1,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.92 : 4,829.82 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    3,221.92/4,829.82 = 1,029.24/x
  3. Step 3: Cross multiply
    3,221.92x = 4,829.82 × 1,029.24
  4. Step 4: Simplify right side
    3,221.92x = 4,971,043.94
  5. Step 5: Solve for x
    x = 4,971,043.94/3,221.92
  6. Step 6: Final answer
    x = 1,542.88

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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.