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Finding the Fourth Proportional to 3,281.82, 4,528.78 and 1,789.71

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Solution

The fourth proportional to 3,281.82, 4,528.78 and 1,789.71 is: 2,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.82 : 4,528.78 = 1,789.71 : x
  2. Step 2: Convert to fraction form
    3,281.82/4,528.78 = 1,789.71/x
  3. Step 3: Cross multiply
    3,281.82x = 4,528.78 × 1,789.71
  4. Step 4: Simplify right side
    3,281.82x = 8,105,193.91
  5. Step 5: Solve for x
    x = 8,105,193.91/3,281.82
  6. Step 6: Final answer
    x = 2,469.73

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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.