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Finding the Fourth Proportional to 3,993.96, 5,982.22 and 3,292.75

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Solution

The fourth proportional to 3,993.96, 5,982.22 and 3,292.75 is: 4,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.96 : 5,982.22 = 3,292.75 : x
  2. Step 2: Convert to fraction form
    3,993.96/5,982.22 = 3,292.75/x
  3. Step 3: Cross multiply
    3,993.96x = 5,982.22 × 3,292.75
  4. Step 4: Simplify right side
    3,993.96x = 19,697,938.44
  5. Step 5: Solve for x
    x = 19,697,938.44/3,993.96
  6. Step 6: Final answer
    x = 4,931.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.