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Finding the Fourth Proportional to 3,940.92, 5,911.25 and 1,167.66

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Solution

The fourth proportional to 3,940.92, 5,911.25 and 1,167.66 is: 1,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.92 : 5,911.25 = 1,167.66 : x
  2. Step 2: Convert to fraction form
    3,940.92/5,911.25 = 1,167.66/x
  3. Step 3: Cross multiply
    3,940.92x = 5,911.25 × 1,167.66
  4. Step 4: Simplify right side
    3,940.92x = 6,902,324.34
  5. Step 5: Solve for x
    x = 6,902,324.34/3,940.92
  6. Step 6: Final answer
    x = 1,751.45

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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.