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Finding the Fourth Proportional to 3,770.43, 5,645.21 and 2,843.19

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Solution

The fourth proportional to 3,770.43, 5,645.21 and 2,843.19 is: 4,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.43 : 5,645.21 = 2,843.19 : x
  2. Step 2: Convert to fraction form
    3,770.43/5,645.21 = 2,843.19/x
  3. Step 3: Cross multiply
    3,770.43x = 5,645.21 × 2,843.19
  4. Step 4: Simplify right side
    3,770.43x = 16,050,390.40
  5. Step 5: Solve for x
    x = 16,050,390.40/3,770.43
  6. Step 6: Final answer
    x = 4,256.91

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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.