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Finding the Fourth Proportional to 3,281.75, 4,528.76 and 1,789.68

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Solution

The fourth proportional to 3,281.75, 4,528.76 and 1,789.68 is: 2,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.75 : 4,528.76 = 1,789.68 : x
  2. Step 2: Convert to fraction form
    3,281.75/4,528.76 = 1,789.68/x
  3. Step 3: Cross multiply
    3,281.75x = 4,528.76 × 1,789.68
  4. Step 4: Simplify right side
    3,281.75x = 8,105,031.20
  5. Step 5: Solve for x
    x = 8,105,031.20/3,281.75
  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.