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Finding the Fourth Proportional to 8,183.96, 12,271.47 and 2,918.15

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Solution

The fourth proportional to 8,183.96, 12,271.47 and 2,918.15 is: 4,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.96 : 12,271.47 = 2,918.15 : x
  2. Step 2: Convert to fraction form
    8,183.96/12,271.47 = 2,918.15/x
  3. Step 3: Cross multiply
    8,183.96x = 12,271.47 × 2,918.15
  4. Step 4: Simplify right side
    8,183.96x = 35,809,928.82
  5. Step 5: Solve for x
    x = 35,809,928.82/8,183.96
  6. Step 6: Final answer
    x = 4,375.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.