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Finding the Fourth Proportional to 8,206.46, 12,310.44 and 3,274.90

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Solution

The fourth proportional to 8,206.46, 12,310.44 and 3,274.90 is: 4,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.46 : 12,310.44 = 3,274.90 : x
  2. Step 2: Convert to fraction form
    8,206.46/12,310.44 = 3,274.90/x
  3. Step 3: Cross multiply
    8,206.46x = 12,310.44 × 3,274.90
  4. Step 4: Simplify right side
    8,206.46x = 40,315,459.96
  5. Step 5: Solve for x
    x = 40,315,459.96/8,206.46
  6. Step 6: Final answer
    x = 4,912.65

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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.