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Finding the Fourth Proportional to 3,923.34, 5,414.34 and 2,154.92

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Solution

The fourth proportional to 3,923.34, 5,414.34 and 2,154.92 is: 2,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.34 : 5,414.34 = 2,154.92 : x
  2. Step 2: Convert to fraction form
    3,923.34/5,414.34 = 2,154.92/x
  3. Step 3: Cross multiply
    3,923.34x = 5,414.34 × 2,154.92
  4. Step 4: Simplify right side
    3,923.34x = 11,667,469.55
  5. Step 5: Solve for x
    x = 11,667,469.55/3,923.34
  6. Step 6: Final answer
    x = 2,973.86

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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.