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Finding the Fourth Proportional to 3,682.92, 5,082.28 and 2,109.92

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Solution

The fourth proportional to 3,682.92, 5,082.28 and 2,109.92 is: 2,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.92 : 5,082.28 = 2,109.92 : x
  2. Step 2: Convert to fraction form
    3,682.92/5,082.28 = 2,109.92/x
  3. Step 3: Cross multiply
    3,682.92x = 5,082.28 × 2,109.92
  4. Step 4: Simplify right side
    3,682.92x = 10,723,204.22
  5. Step 5: Solve for x
    x = 10,723,204.22/3,682.92
  6. Step 6: Final answer
    x = 2,911.60

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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.