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Finding the Fourth Proportional to 3,638.97, 5,021.78 and 1,982.97

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Solution

The fourth proportional to 3,638.97, 5,021.78 and 1,982.97 is: 2,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.97 : 5,021.78 = 1,982.97 : x
  2. Step 2: Convert to fraction form
    3,638.97/5,021.78 = 1,982.97/x
  3. Step 3: Cross multiply
    3,638.97x = 5,021.78 × 1,982.97
  4. Step 4: Simplify right side
    3,638.97x = 9,958,039.09
  5. Step 5: Solve for x
    x = 9,958,039.09/3,638.97
  6. Step 6: Final answer
    x = 2,736.50

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1.5x scale

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.