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Finding the Fourth Proportional to 8,222.56, 11,322.27 and 6,893.95

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Solution

The fourth proportional to 8,222.56, 11,322.27 and 6,893.95 is: 9,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.56 : 11,322.27 = 6,893.95 : x
  2. Step 2: Convert to fraction form
    8,222.56/11,322.27 = 6,893.95/x
  3. Step 3: Cross multiply
    8,222.56x = 11,322.27 × 6,893.95
  4. Step 4: Simplify right side
    8,222.56x = 78,055,163.27
  5. Step 5: Solve for x
    x = 78,055,163.27/8,222.56
  6. Step 6: Final answer
    x = 9,492.81

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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.