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Finding the Fourth Proportional to 3,940.75, 5,911.80 and 1,749.43

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Solution

The fourth proportional to 3,940.75, 5,911.80 and 1,749.43 is: 2,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.75 : 5,911.80 = 1,749.43 : x
  2. Step 2: Convert to fraction form
    3,940.75/5,911.80 = 1,749.43/x
  3. Step 3: Cross multiply
    3,940.75x = 5,911.80 × 1,749.43
  4. Step 4: Simplify right side
    3,940.75x = 10,342,280.27
  5. Step 5: Solve for x
    x = 10,342,280.27/3,940.75
  6. Step 6: Final answer
    x = 2,624.44

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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.