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Finding the Fourth Proportional to 3,975.67, 5,964.11 and 1,378

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Solution

The fourth proportional to 3,975.67, 5,964.11 and 1,378 is: 2,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.67 : 5,964.11 = 1,378 : x
  2. Step 2: Convert to fraction form
    3,975.67/5,964.11 = 1,378/x
  3. Step 3: Cross multiply
    3,975.67x = 5,964.11 × 1,378
  4. Step 4: Simplify right side
    3,975.67x = 8,218,543.58
  5. Step 5: Solve for x
    x = 8,218,543.58/3,975.67
  6. Step 6: Final answer
    x = 2,067.21

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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.