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Finding the Fourth Proportional to 3,843.88, 5,761.14 and 1,993.98

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Solution

The fourth proportional to 3,843.88, 5,761.14 and 1,993.98 is: 2,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.88 : 5,761.14 = 1,993.98 : x
  2. Step 2: Convert to fraction form
    3,843.88/5,761.14 = 1,993.98/x
  3. Step 3: Cross multiply
    3,843.88x = 5,761.14 × 1,993.98
  4. Step 4: Simplify right side
    3,843.88x = 11,487,597.94
  5. Step 5: Solve for x
    x = 11,487,597.94/3,843.88
  6. Step 6: Final answer
    x = 2,988.54

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1.5x scale

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.