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Finding the Fourth Proportional to 8,170.44, 11,269.17 and 5,183.70

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Solution

The fourth proportional to 8,170.44, 11,269.17 and 5,183.70 is: 7,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.44 : 11,269.17 = 5,183.70 : x
  2. Step 2: Convert to fraction form
    8,170.44/11,269.17 = 5,183.70/x
  3. Step 3: Cross multiply
    8,170.44x = 11,269.17 × 5,183.70
  4. Step 4: Simplify right side
    8,170.44x = 58,415,996.53
  5. Step 5: Solve for x
    x = 58,415,996.53/8,170.44
  6. Step 6: Final answer
    x = 7,149.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.