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Finding the Fourth Proportional to 2,082.85, 3,124.27 and 767.54

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Solution

The fourth proportional to 2,082.85, 3,124.27 and 767.54 is: 1,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.85 : 3,124.27 = 767.54 : x
  2. Step 2: Convert to fraction form
    2,082.85/3,124.27 = 767.54/x
  3. Step 3: Cross multiply
    2,082.85x = 3,124.27 × 767.54
  4. Step 4: Simplify right side
    2,082.85x = 2,398,010.97
  5. Step 5: Solve for x
    x = 2,398,010.97/2,082.85
  6. Step 6: Final answer
    x = 1,151.31

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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.