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Finding the Fourth Proportional to 3,843.14, 5,764.79 and 1,377.90

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Solution

The fourth proportional to 3,843.14, 5,764.79 and 1,377.90 is: 2,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.14 : 5,764.79 = 1,377.90 : x
  2. Step 2: Convert to fraction form
    3,843.14/5,764.79 = 1,377.90/x
  3. Step 3: Cross multiply
    3,843.14x = 5,764.79 × 1,377.90
  4. Step 4: Simplify right side
    3,843.14x = 7,943,307.59
  5. Step 5: Solve for x
    x = 7,943,307.59/3,843.14
  6. Step 6: Final answer
    x = 2,066.88

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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.