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Finding the Fourth Proportional to 5,812.82, 8,716.50 and 2,112.44

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Solution

The fourth proportional to 5,812.82, 8,716.50 and 2,112.44 is: 3,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.82 : 8,716.50 = 2,112.44 : x
  2. Step 2: Convert to fraction form
    5,812.82/8,716.50 = 2,112.44/x
  3. Step 3: Cross multiply
    5,812.82x = 8,716.50 × 2,112.44
  4. Step 4: Simplify right side
    5,812.82x = 18,413,083.26
  5. Step 5: Solve for x
    x = 18,413,083.26/5,812.82
  6. Step 6: Final answer
    x = 3,167.67

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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.