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Finding the Fourth Proportional to 8,227.60, 12,334.20 and 7,352.80

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Solution

The fourth proportional to 8,227.60, 12,334.20 and 7,352.80 is: 11,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.60 : 12,334.20 = 7,352.80 : x
  2. Step 2: Convert to fraction form
    8,227.60/12,334.20 = 7,352.80/x
  3. Step 3: Cross multiply
    8,227.60x = 12,334.20 × 7,352.80
  4. Step 4: Simplify right side
    8,227.60x = 90,690,905.76
  5. Step 5: Solve for x
    x = 90,690,905.76/8,227.60
  6. Step 6: Final answer
    x = 11,022.77

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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.