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Finding the Fourth Proportional to 8,122.78, 11,204.14 and 5,736.22

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Solution

The fourth proportional to 8,122.78, 11,204.14 and 5,736.22 is: 7,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.78 : 11,204.14 = 5,736.22 : x
  2. Step 2: Convert to fraction form
    8,122.78/11,204.14 = 5,736.22/x
  3. Step 3: Cross multiply
    8,122.78x = 11,204.14 × 5,736.22
  4. Step 4: Simplify right side
    8,122.78x = 64,269,411.95
  5. Step 5: Solve for x
    x = 64,269,411.95/8,122.78
  6. Step 6: Final answer
    x = 7,912.24

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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.