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Finding the Fourth Proportional to 8,832.28, 12,200.34 and 6,188.44

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Solution

The fourth proportional to 8,832.28, 12,200.34 and 6,188.44 is: 8,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.28 : 12,200.34 = 6,188.44 : x
  2. Step 2: Convert to fraction form
    8,832.28/12,200.34 = 6,188.44/x
  3. Step 3: Cross multiply
    8,832.28x = 12,200.34 × 6,188.44
  4. Step 4: Simplify right side
    8,832.28x = 75,501,072.07
  5. Step 5: Solve for x
    x = 75,501,072.07/8,832.28
  6. Step 6: Final answer
    x = 8,548.31

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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.