Home / 2,082.40-3,123.66-1,163.82

Finding the Fourth Proportional to 2,082.40, 3,123.66 and 1,163.82

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Solution

The fourth proportional to 2,082.40, 3,123.66 and 1,163.82 is: 1,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.40 : 3,123.66 = 1,163.82 : x
  2. Step 2: Convert to fraction form
    2,082.40/3,123.66 = 1,163.82/x
  3. Step 3: Cross multiply
    2,082.40x = 3,123.66 × 1,163.82
  4. Step 4: Simplify right side
    2,082.40x = 3,635,377.98
  5. Step 5: Solve for x
    x = 3,635,377.98/2,082.40
  6. Step 6: Final answer
    x = 1,745.76

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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.