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Finding the Fourth Proportional to 2,082.78, 3,121.80 and 695.79

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Solution

The fourth proportional to 2,082.78, 3,121.80 and 695.79 is: 1,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.78 : 3,121.80 = 695.79 : x
  2. Step 2: Convert to fraction form
    2,082.78/3,121.80 = 695.79/x
  3. Step 3: Cross multiply
    2,082.78x = 3,121.80 × 695.79
  4. Step 4: Simplify right side
    2,082.78x = 2,172,117.22
  5. Step 5: Solve for x
    x = 2,172,117.22/2,082.78
  6. Step 6: Final answer
    x = 1,042.89

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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.