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Finding the Fourth Proportional to 3,910.86, 5,866.29 and 2,743.09

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Solution

The fourth proportional to 3,910.86, 5,866.29 and 2,743.09 is: 4,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.86 : 5,866.29 = 2,743.09 : x
  2. Step 2: Convert to fraction form
    3,910.86/5,866.29 = 2,743.09/x
  3. Step 3: Cross multiply
    3,910.86x = 5,866.29 × 2,743.09
  4. Step 4: Simplify right side
    3,910.86x = 16,091,751.70
  5. Step 5: Solve for x
    x = 16,091,751.70/3,910.86
  6. Step 6: Final answer
    x = 4,114.64

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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.