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Finding the Fourth Proportional to 1,968.44, 2,952 and 1,839

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Solution

The fourth proportional to 1,968.44, 2,952 and 1,839 is: 2,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.44 : 2,952 = 1,839 : x
  2. Step 2: Convert to fraction form
    1,968.44/2,952 = 1,839/x
  3. Step 3: Cross multiply
    1,968.44x = 2,952 × 1,839
  4. Step 4: Simplify right side
    1,968.44x = 5,428,728
  5. Step 5: Solve for x
    x = 5,428,728/1,968.44
  6. Step 6: Final answer
    x = 2,757.88

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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.