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Finding the Fourth Proportional to 3,237.71, 4,855.97 and 865.82

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Solution

The fourth proportional to 3,237.71, 4,855.97 and 865.82 is: 1,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.71 : 4,855.97 = 865.82 : x
  2. Step 2: Convert to fraction form
    3,237.71/4,855.97 = 865.82/x
  3. Step 3: Cross multiply
    3,237.71x = 4,855.97 × 865.82
  4. Step 4: Simplify right side
    3,237.71x = 4,204,367.34
  5. Step 5: Solve for x
    x = 4,204,367.34/3,237.71
  6. Step 6: Final answer
    x = 1,298.56

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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.