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Finding the Fourth Proportional to 7,067.78, 9,754.13 and 3,923.90

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Solution

The fourth proportional to 7,067.78, 9,754.13 and 3,923.90 is: 5,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.78 : 9,754.13 = 3,923.90 : x
  2. Step 2: Convert to fraction form
    7,067.78/9,754.13 = 3,923.90/x
  3. Step 3: Cross multiply
    7,067.78x = 9,754.13 × 3,923.90
  4. Step 4: Simplify right side
    7,067.78x = 38,274,230.71
  5. Step 5: Solve for x
    x = 38,274,230.71/7,067.78
  6. Step 6: Final answer
    x = 5,415.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.