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Finding the Fourth Proportional to 3,675.38, 5,072.00 and 1,996.76

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Solution

The fourth proportional to 3,675.38, 5,072.00 and 1,996.76 is: 2,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.38 : 5,072.00 = 1,996.76 : x
  2. Step 2: Convert to fraction form
    3,675.38/5,072.00 = 1,996.76/x
  3. Step 3: Cross multiply
    3,675.38x = 5,072.00 × 1,996.76
  4. Step 4: Simplify right side
    3,675.38x = 10,127,531.38
  5. Step 5: Solve for x
    x = 10,127,531.38/3,675.38
  6. Step 6: Final answer
    x = 2,755.51

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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.