Home / 2,082.11-3,122.53-695.09

Finding the Fourth Proportional to 2,082.11, 3,122.53 and 695.09

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Solution

The fourth proportional to 2,082.11, 3,122.53 and 695.09 is: 1,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.11 : 3,122.53 = 695.09 : x
  2. Step 2: Convert to fraction form
    2,082.11/3,122.53 = 695.09/x
  3. Step 3: Cross multiply
    2,082.11x = 3,122.53 × 695.09
  4. Step 4: Simplify right side
    2,082.11x = 2,170,445.45
  5. Step 5: Solve for x
    x = 2,170,445.45/2,082.11
  6. Step 6: Final answer
    x = 1,042.43

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1.5x scale

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.