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Finding the Fourth Proportional to 3,221.87, 4,829.72 and 1,029.20

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Solution

The fourth proportional to 3,221.87, 4,829.72 and 1,029.20 is: 1,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.87 : 4,829.72 = 1,029.20 : x
  2. Step 2: Convert to fraction form
    3,221.87/4,829.72 = 1,029.20/x
  3. Step 3: Cross multiply
    3,221.87x = 4,829.72 × 1,029.20
  4. Step 4: Simplify right side
    3,221.87x = 4,970,718.53
  5. Step 5: Solve for x
    x = 4,970,718.53/3,221.87
  6. Step 6: Final answer
    x = 1,542.81

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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.