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Finding the Fourth Proportional to 3,991.92, 5,981.40 and 2,832

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Solution

The fourth proportional to 3,991.92, 5,981.40 and 2,832 is: 4,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.92 : 5,981.40 = 2,832 : x
  2. Step 2: Convert to fraction form
    3,991.92/5,981.40 = 2,832/x
  3. Step 3: Cross multiply
    3,991.92x = 5,981.40 × 2,832
  4. Step 4: Simplify right side
    3,991.92x = 16,939,324.80
  5. Step 5: Solve for x
    x = 16,939,324.80/3,991.92
  6. Step 6: Final answer
    x = 4,243.40

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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.