Home / 2,082.28-3,123.48-1,204.24

Finding the Fourth Proportional to 2,082.28, 3,123.48 and 1,204.24

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Solution

The fourth proportional to 2,082.28, 3,123.48 and 1,204.24 is: 1,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.28 : 3,123.48 = 1,204.24 : x
  2. Step 2: Convert to fraction form
    2,082.28/3,123.48 = 1,204.24/x
  3. Step 3: Cross multiply
    2,082.28x = 3,123.48 × 1,204.24
  4. Step 4: Simplify right side
    2,082.28x = 3,761,419.56
  5. Step 5: Solve for x
    x = 3,761,419.56/2,082.28
  6. Step 6: Final answer
    x = 1,806.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.