Home / 2,082.24-3,121.20-849.12

Finding the Fourth Proportional to 2,082.24, 3,121.20 and 849.12

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Solution

The fourth proportional to 2,082.24, 3,121.20 and 849.12 is: 1,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.24 : 3,121.20 = 849.12 : x
  2. Step 2: Convert to fraction form
    2,082.24/3,121.20 = 849.12/x
  3. Step 3: Cross multiply
    2,082.24x = 3,121.20 × 849.12
  4. Step 4: Simplify right side
    2,082.24x = 2,650,273.34
  5. Step 5: Solve for x
    x = 2,650,273.34/2,082.24
  6. Step 6: Final answer
    x = 1,272.80

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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.