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Finding the Fourth Proportional to 2,227.82, 3,339.63 and 765.95

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Solution

The fourth proportional to 2,227.82, 3,339.63 and 765.95 is: 1,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.82 : 3,339.63 = 765.95 : x
  2. Step 2: Convert to fraction form
    2,227.82/3,339.63 = 765.95/x
  3. Step 3: Cross multiply
    2,227.82x = 3,339.63 × 765.95
  4. Step 4: Simplify right side
    2,227.82x = 2,557,972.90
  5. Step 5: Solve for x
    x = 2,557,972.90/2,227.82
  6. Step 6: Final answer
    x = 1,148.20

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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.