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Finding the Fourth Proportional to 2,082.26, 3,121.84 and 694.78

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Solution

The fourth proportional to 2,082.26, 3,121.84 and 694.78 is: 1,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.26 : 3,121.84 = 694.78 : x
  2. Step 2: Convert to fraction form
    2,082.26/3,121.84 = 694.78/x
  3. Step 3: Cross multiply
    2,082.26x = 3,121.84 × 694.78
  4. Step 4: Simplify right side
    2,082.26x = 2,168,985.06
  5. Step 5: Solve for x
    x = 2,168,985.06/2,082.26
  6. Step 6: Final answer
    x = 1,041.65

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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.