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Finding the Fourth Proportional to 3,760.78, 5,190.07 and 2,082.38

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Solution

The fourth proportional to 3,760.78, 5,190.07 and 2,082.38 is: 2,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.78 : 5,190.07 = 2,082.38 : x
  2. Step 2: Convert to fraction form
    3,760.78/5,190.07 = 2,082.38/x
  3. Step 3: Cross multiply
    3,760.78x = 5,190.07 × 2,082.38
  4. Step 4: Simplify right side
    3,760.78x = 10,807,679.83
  5. Step 5: Solve for x
    x = 10,807,679.83/3,760.78
  6. Step 6: Final answer
    x = 2,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.