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Finding the Fourth Proportional to 3,760.89, 5,189.99 and 2,082.30

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Solution

The fourth proportional to 3,760.89, 5,189.99 and 2,082.30 is: 2,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.89 : 5,189.99 = 2,082.30 : x
  2. Step 2: Convert to fraction form
    3,760.89/5,189.99 = 2,082.30/x
  3. Step 3: Cross multiply
    3,760.89x = 5,189.99 × 2,082.30
  4. Step 4: Simplify right side
    3,760.89x = 10,807,116.18
  5. Step 5: Solve for x
    x = 10,807,116.18/3,760.89
  6. Step 6: Final answer
    x = 2,873.55

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