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Finding the Fourth Proportional to 5,982.82, 8,257.14 and 3,592.90

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Solution

The fourth proportional to 5,982.82, 8,257.14 and 3,592.90 is: 4,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.82 : 8,257.14 = 3,592.90 : x
  2. Step 2: Convert to fraction form
    5,982.82/8,257.14 = 3,592.90/x
  3. Step 3: Cross multiply
    5,982.82x = 8,257.14 × 3,592.90
  4. Step 4: Simplify right side
    5,982.82x = 29,667,078.31
  5. Step 5: Solve for x
    x = 29,667,078.31/5,982.82
  6. Step 6: Final answer
    x = 4,958.71

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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.