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Finding the Fourth Proportional to 3,105.75, 4,657.26 and 1,644.56

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Solution

The fourth proportional to 3,105.75, 4,657.26 and 1,644.56 is: 2,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.75 : 4,657.26 = 1,644.56 : x
  2. Step 2: Convert to fraction form
    3,105.75/4,657.26 = 1,644.56/x
  3. Step 3: Cross multiply
    3,105.75x = 4,657.26 × 1,644.56
  4. Step 4: Simplify right side
    3,105.75x = 7,659,170.05
  5. Step 5: Solve for x
    x = 7,659,170.05/3,105.75
  6. Step 6: Final answer
    x = 2,466.12

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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.