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Finding the Fourth Proportional to 3,940.80, 5,910.80 and 1,343.70

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Solution

The fourth proportional to 3,940.80, 5,910.80 and 1,343.70 is: 2,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.80 : 5,910.80 = 1,343.70 : x
  2. Step 2: Convert to fraction form
    3,940.80/5,910.80 = 1,343.70/x
  3. Step 3: Cross multiply
    3,940.80x = 5,910.80 × 1,343.70
  4. Step 4: Simplify right side
    3,940.80x = 7,942,341.96
  5. Step 5: Solve for x
    x = 7,942,341.96/3,940.80
  6. Step 6: Final answer
    x = 2,015.41

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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.