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Finding the Fourth Proportional to 8,163.56, 12,246 and 2,617.64

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Solution

The fourth proportional to 8,163.56, 12,246 and 2,617.64 is: 3,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.56 : 12,246 = 2,617.64 : x
  2. Step 2: Convert to fraction form
    8,163.56/12,246 = 2,617.64/x
  3. Step 3: Cross multiply
    8,163.56x = 12,246 × 2,617.64
  4. Step 4: Simplify right side
    8,163.56x = 32,055,619.44
  5. Step 5: Solve for x
    x = 32,055,619.44/8,163.56
  6. Step 6: Final answer
    x = 3,926.67

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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.