Home / 2,082.10-3,123.16-849.18

Finding the Fourth Proportional to 2,082.10, 3,123.16 and 849.18

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Solution

The fourth proportional to 2,082.10, 3,123.16 and 849.18 is: 1,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.10 : 3,123.16 = 849.18 : x
  2. Step 2: Convert to fraction form
    2,082.10/3,123.16 = 849.18/x
  3. Step 3: Cross multiply
    2,082.10x = 3,123.16 × 849.18
  4. Step 4: Simplify right side
    2,082.10x = 2,652,125.01
  5. Step 5: Solve for x
    x = 2,652,125.01/2,082.10
  6. Step 6: Final answer
    x = 1,273.77

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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.