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Finding the Fourth Proportional to 2,721.25, 4,081.54 and 773.30

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Solution

The fourth proportional to 2,721.25, 4,081.54 and 773.30 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.25 : 4,081.54 = 773.30 : x
  2. Step 2: Convert to fraction form
    2,721.25/4,081.54 = 773.30/x
  3. Step 3: Cross multiply
    2,721.25x = 4,081.54 × 773.30
  4. Step 4: Simplify right side
    2,721.25x = 3,156,241.64
  5. Step 5: Solve for x
    x = 3,156,241.64/2,721.25
  6. Step 6: Final answer
    x = 1,159.85

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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.