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Finding the Fourth Proportional to 3,208.52, 4,815.80 and 1,649.61

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Solution

The fourth proportional to 3,208.52, 4,815.80 and 1,649.61 is: 2,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.52 : 4,815.80 = 1,649.61 : x
  2. Step 2: Convert to fraction form
    3,208.52/4,815.80 = 1,649.61/x
  3. Step 3: Cross multiply
    3,208.52x = 4,815.80 × 1,649.61
  4. Step 4: Simplify right side
    3,208.52x = 7,944,183.59
  5. Step 5: Solve for x
    x = 7,944,183.59/3,208.52
  6. Step 6: Final answer
    x = 2,475.97

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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.