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Finding the Fourth Proportional to 8,211.56, 11,323.86 and 5,067.08

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Solution

The fourth proportional to 8,211.56, 11,323.86 and 5,067.08 is: 6,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.56 : 11,323.86 = 5,067.08 : x
  2. Step 2: Convert to fraction form
    8,211.56/11,323.86 = 5,067.08/x
  3. Step 3: Cross multiply
    8,211.56x = 11,323.86 × 5,067.08
  4. Step 4: Simplify right side
    8,211.56x = 57,378,904.53
  5. Step 5: Solve for x
    x = 57,378,904.53/8,211.56
  6. Step 6: Final answer
    x = 6,987.58

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