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Finding the Fourth Proportional to 3,940.74, 5,911.11 and 1,748.88

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Solution

The fourth proportional to 3,940.74, 5,911.11 and 1,748.88 is: 2,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.74 : 5,911.11 = 1,748.88 : x
  2. Step 2: Convert to fraction form
    3,940.74/5,911.11 = 1,748.88/x
  3. Step 3: Cross multiply
    3,940.74x = 5,911.11 × 1,748.88
  4. Step 4: Simplify right side
    3,940.74x = 10,337,822.06
  5. Step 5: Solve for x
    x = 10,337,822.06/3,940.74
  6. Step 6: Final answer
    x = 2,623.32

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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.