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Finding the Fourth Proportional to 3,440.85, 5,161.37 and 843.78

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Solution

The fourth proportional to 3,440.85, 5,161.37 and 843.78 is: 1,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.85 : 5,161.37 = 843.78 : x
  2. Step 2: Convert to fraction form
    3,440.85/5,161.37 = 843.78/x
  3. Step 3: Cross multiply
    3,440.85x = 5,161.37 × 843.78
  4. Step 4: Simplify right side
    3,440.85x = 4,355,060.78
  5. Step 5: Solve for x
    x = 4,355,060.78/3,440.85
  6. Step 6: Final answer
    x = 1,265.69

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1.5x scale

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.