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Finding the Fourth Proportional to 3,877, 5,351.34 and 2,635

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Solution

The fourth proportional to 3,877, 5,351.34 and 2,635 is: 3,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877 : 5,351.34 = 2,635 : x
  2. Step 2: Convert to fraction form
    3,877/5,351.34 = 2,635/x
  3. Step 3: Cross multiply
    3,877x = 5,351.34 × 2,635
  4. Step 4: Simplify right side
    3,877x = 14,100,780.90
  5. Step 5: Solve for x
    x = 14,100,780.90/3,877
  6. Step 6: Final answer
    x = 3,637.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.