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Finding the Fourth Proportional to 1,996, 2,996.40 and 1,441.12

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Solution

The fourth proportional to 1,996, 2,996.40 and 1,441.12 is: 2,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996 : 2,996.40 = 1,441.12 : x
  2. Step 2: Convert to fraction form
    1,996/2,996.40 = 1,441.12/x
  3. Step 3: Cross multiply
    1,996x = 2,996.40 × 1,441.12
  4. Step 4: Simplify right side
    1,996x = 4,318,171.97
  5. Step 5: Solve for x
    x = 4,318,171.97/1,996
  6. Step 6: Final answer
    x = 2,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.