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Finding the Fourth Proportional to 3,682.70, 5,082.11 and 2,004.12

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Solution

The fourth proportional to 3,682.70, 5,082.11 and 2,004.12 is: 2,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.70 : 5,082.11 = 2,004.12 : x
  2. Step 2: Convert to fraction form
    3,682.70/5,082.11 = 2,004.12/x
  3. Step 3: Cross multiply
    3,682.70x = 5,082.11 × 2,004.12
  4. Step 4: Simplify right side
    3,682.70x = 10,185,158.29
  5. Step 5: Solve for x
    x = 10,185,158.29/3,682.70
  6. Step 6: Final answer
    x = 2,765.68

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1.5x scale

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.