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Finding the Fourth Proportional to 2,721.45, 4,082.33 and 773.50

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Solution

The fourth proportional to 2,721.45, 4,082.33 and 773.50 is: 1,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.45 : 4,082.33 = 773.50 : x
  2. Step 2: Convert to fraction form
    2,721.45/4,082.33 = 773.50/x
  3. Step 3: Cross multiply
    2,721.45x = 4,082.33 × 773.50
  4. Step 4: Simplify right side
    2,721.45x = 3,157,682.26
  5. Step 5: Solve for x
    x = 3,157,682.26/2,721.45
  6. Step 6: Final answer
    x = 1,160.29

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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.