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Finding the Fourth Proportional to 3,682.80, 5,082.39 and 2,004.21

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Solution

The fourth proportional to 3,682.80, 5,082.39 and 2,004.21 is: 2,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.80 : 5,082.39 = 2,004.21 : x
  2. Step 2: Convert to fraction form
    3,682.80/5,082.39 = 2,004.21/x
  3. Step 3: Cross multiply
    3,682.80x = 5,082.39 × 2,004.21
  4. Step 4: Simplify right side
    3,682.80x = 10,186,176.86
  5. Step 5: Solve for x
    x = 10,186,176.86/3,682.80
  6. Step 6: Final answer
    x = 2,765.88

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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.