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Finding the Fourth Proportional to 3,676, 5,072.84 and 1,997.41

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Solution

The fourth proportional to 3,676, 5,072.84 and 1,997.41 is: 2,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676 : 5,072.84 = 1,997.41 : x
  2. Step 2: Convert to fraction form
    3,676/5,072.84 = 1,997.41/x
  3. Step 3: Cross multiply
    3,676x = 5,072.84 × 1,997.41
  4. Step 4: Simplify right side
    3,676x = 10,132,541.34
  5. Step 5: Solve for x
    x = 10,132,541.34/3,676
  6. Step 6: Final answer
    x = 2,756.40

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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.