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Finding the Fourth Proportional to 3,761.75, 5,641.05 and 1,421.34

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Solution

The fourth proportional to 3,761.75, 5,641.05 and 1,421.34 is: 2,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.75 : 5,641.05 = 1,421.34 : x
  2. Step 2: Convert to fraction form
    3,761.75/5,641.05 = 1,421.34/x
  3. Step 3: Cross multiply
    3,761.75x = 5,641.05 × 1,421.34
  4. Step 4: Simplify right side
    3,761.75x = 8,017,850.01
  5. Step 5: Solve for x
    x = 8,017,850.01/3,761.75
  6. Step 6: Final answer
    x = 2,131.42

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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.