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Finding the Fourth Proportional to 3,882.96, 5,352.84 and 2,949.84

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Solution

The fourth proportional to 3,882.96, 5,352.84 and 2,949.84 is: 4,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.96 : 5,352.84 = 2,949.84 : x
  2. Step 2: Convert to fraction form
    3,882.96/5,352.84 = 2,949.84/x
  3. Step 3: Cross multiply
    3,882.96x = 5,352.84 × 2,949.84
  4. Step 4: Simplify right side
    3,882.96x = 15,790,021.55
  5. Step 5: Solve for x
    x = 15,790,021.55/3,882.96
  6. Step 6: Final answer
    x = 4,066.49

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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.