Home / 2,082.28-3,123.38-849.40

Finding the Fourth Proportional to 2,082.28, 3,123.38 and 849.40

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Solution

The fourth proportional to 2,082.28, 3,123.38 and 849.40 is: 1,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.28 : 3,123.38 = 849.40 : x
  2. Step 2: Convert to fraction form
    2,082.28/3,123.38 = 849.40/x
  3. Step 3: Cross multiply
    2,082.28x = 3,123.38 × 849.40
  4. Step 4: Simplify right side
    2,082.28x = 2,652,979.11
  5. Step 5: Solve for x
    x = 2,652,979.11/2,082.28
  6. Step 6: Final answer
    x = 1,274.08

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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.