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Finding the Fourth Proportional to 8,211.80, 11,330.94 and 5,067.80

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Solution

The fourth proportional to 8,211.80, 11,330.94 and 5,067.80 is: 6,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.80 : 11,330.94 = 5,067.80 : x
  2. Step 2: Convert to fraction form
    8,211.80/11,330.94 = 5,067.80/x
  3. Step 3: Cross multiply
    8,211.80x = 11,330.94 × 5,067.80
  4. Step 4: Simplify right side
    8,211.80x = 57,422,937.73
  5. Step 5: Solve for x
    x = 57,422,937.73/8,211.80
  6. Step 6: Final answer
    x = 6,992.73

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1.5x scale

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.