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Finding the Fourth Proportional to 3,940.22, 5,910.95 and 1,475.39

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Solution

The fourth proportional to 3,940.22, 5,910.95 and 1,475.39 is: 2,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.22 : 5,910.95 = 1,475.39 : x
  2. Step 2: Convert to fraction form
    3,940.22/5,910.95 = 1,475.39/x
  3. Step 3: Cross multiply
    3,940.22x = 5,910.95 × 1,475.39
  4. Step 4: Simplify right side
    3,940.22x = 8,720,919.59
  5. Step 5: Solve for x
    x = 8,720,919.59/3,940.22
  6. Step 6: Final answer
    x = 2,213.31

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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.