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Finding the Fourth Proportional to 2,082.59, 3,123 and 849.16

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Solution

The fourth proportional to 2,082.59, 3,123 and 849.16 is: 1,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.59 : 3,123 = 849.16 : x
  2. Step 2: Convert to fraction form
    2,082.59/3,123 = 849.16/x
  3. Step 3: Cross multiply
    2,082.59x = 3,123 × 849.16
  4. Step 4: Simplify right side
    2,082.59x = 2,651,918.87
  5. Step 5: Solve for x
    x = 2,651,918.87/2,082.59
  6. Step 6: Final answer
    x = 1,273.38

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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.