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Finding the Fourth Proportional to 13,427.51, 20,141.13 and 8,163.97

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Solution

The fourth proportional to 13,427.51, 20,141.13 and 8,163.97 is: 12,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.51 : 20,141.13 = 8,163.97 : x
  2. Step 2: Convert to fraction form
    13,427.51/20,141.13 = 8,163.97/x
  3. Step 3: Cross multiply
    13,427.51x = 20,141.13 × 8,163.97
  4. Step 4: Simplify right side
    13,427.51x = 164,431,674.64
  5. Step 5: Solve for x
    x = 164,431,674.64/13,427.51
  6. Step 6: Final answer
    x = 12,245.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.