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Finding the Fourth Proportional to 5,450.56, 8,174.84 and 1,447.96

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Solution

The fourth proportional to 5,450.56, 8,174.84 and 1,447.96 is: 2,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.56 : 8,174.84 = 1,447.96 : x
  2. Step 2: Convert to fraction form
    5,450.56/8,174.84 = 1,447.96/x
  3. Step 3: Cross multiply
    5,450.56x = 8,174.84 × 1,447.96
  4. Step 4: Simplify right side
    5,450.56x = 11,836,841.33
  5. Step 5: Solve for x
    x = 11,836,841.33/5,450.56
  6. Step 6: Final answer
    x = 2,171.67

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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.