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Finding the Fourth Proportional to 8,223.24, 12,335.70 and 3,292.20

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Solution

The fourth proportional to 8,223.24, 12,335.70 and 3,292.20 is: 4,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.24 : 12,335.70 = 3,292.20 : x
  2. Step 2: Convert to fraction form
    8,223.24/12,335.70 = 3,292.20/x
  3. Step 3: Cross multiply
    8,223.24x = 12,335.70 × 3,292.20
  4. Step 4: Simplify right side
    8,223.24x = 40,611,591.54
  5. Step 5: Solve for x
    x = 40,611,591.54/8,223.24
  6. Step 6: Final answer
    x = 4,938.64

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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.