Home / 2,082.28-3,121.05-695.29

Finding the Fourth Proportional to 2,082.28, 3,121.05 and 695.29

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Solution

The fourth proportional to 2,082.28, 3,121.05 and 695.29 is: 1,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.28 : 3,121.05 = 695.29 : x
  2. Step 2: Convert to fraction form
    2,082.28/3,121.05 = 695.29/x
  3. Step 3: Cross multiply
    2,082.28x = 3,121.05 × 695.29
  4. Step 4: Simplify right side
    2,082.28x = 2,170,034.85
  5. Step 5: Solve for x
    x = 2,170,034.85/2,082.28
  6. Step 6: Final answer
    x = 1,042.14

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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.