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Finding the Fourth Proportional to 5,396.96, 8,093.76 and 2,109.14

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Solution

The fourth proportional to 5,396.96, 8,093.76 and 2,109.14 is: 3,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.96 : 8,093.76 = 2,109.14 : x
  2. Step 2: Convert to fraction form
    5,396.96/8,093.76 = 2,109.14/x
  3. Step 3: Cross multiply
    5,396.96x = 8,093.76 × 2,109.14
  4. Step 4: Simplify right side
    5,396.96x = 17,070,872.97
  5. Step 5: Solve for x
    x = 17,070,872.97/5,396.96
  6. Step 6: Final answer
    x = 3,163.05

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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.