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Finding the Fourth Proportional to 2,687.84, 4,033 and 1,227.44

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Solution

The fourth proportional to 2,687.84, 4,033 and 1,227.44 is: 1,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.84 : 4,033 = 1,227.44 : x
  2. Step 2: Convert to fraction form
    2,687.84/4,033 = 1,227.44/x
  3. Step 3: Cross multiply
    2,687.84x = 4,033 × 1,227.44
  4. Step 4: Simplify right side
    2,687.84x = 4,950,265.52
  5. Step 5: Solve for x
    x = 4,950,265.52/2,687.84
  6. Step 6: Final answer
    x = 1,841.73

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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.