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Finding the Fourth Proportional to 8,161.98, 12,233.22 and 5,683.38

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Solution

The fourth proportional to 8,161.98, 12,233.22 and 5,683.38 is: 8,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.98 : 12,233.22 = 5,683.38 : x
  2. Step 2: Convert to fraction form
    8,161.98/12,233.22 = 5,683.38/x
  3. Step 3: Cross multiply
    8,161.98x = 12,233.22 × 5,683.38
  4. Step 4: Simplify right side
    8,161.98x = 69,526,037.88
  5. Step 5: Solve for x
    x = 69,526,037.88/8,161.98
  6. Step 6: Final answer
    x = 8,518.28

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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.