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Finding the Fourth Proportional to 3,440.96, 5,161.38 and 843.90

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Solution

The fourth proportional to 3,440.96, 5,161.38 and 843.90 is: 1,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.96 : 5,161.38 = 843.90 : x
  2. Step 2: Convert to fraction form
    3,440.96/5,161.38 = 843.90/x
  3. Step 3: Cross multiply
    3,440.96x = 5,161.38 × 843.90
  4. Step 4: Simplify right side
    3,440.96x = 4,355,688.58
  5. Step 5: Solve for x
    x = 4,355,688.58/3,440.96
  6. Step 6: Final answer
    x = 1,265.84

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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.