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Finding the Fourth Proportional to 3,638, 5,020.48 and 1,982

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Solution

The fourth proportional to 3,638, 5,020.48 and 1,982 is: 2,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638 : 5,020.48 = 1,982 : x
  2. Step 2: Convert to fraction form
    3,638/5,020.48 = 1,982/x
  3. Step 3: Cross multiply
    3,638x = 5,020.48 × 1,982
  4. Step 4: Simplify right side
    3,638x = 9,950,591.36
  5. Step 5: Solve for x
    x = 9,950,591.36/3,638
  6. Step 6: Final answer
    x = 2,735.18

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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.