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Finding the Fourth Proportional to 8,544.24, 12,813.89 and 3,278.88

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Solution

The fourth proportional to 8,544.24, 12,813.89 and 3,278.88 is: 4,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.24 : 12,813.89 = 3,278.88 : x
  2. Step 2: Convert to fraction form
    8,544.24/12,813.89 = 3,278.88/x
  3. Step 3: Cross multiply
    8,544.24x = 12,813.89 × 3,278.88
  4. Step 4: Simplify right side
    8,544.24x = 42,015,191.25
  5. Step 5: Solve for x
    x = 42,015,191.25/8,544.24
  6. Step 6: Final answer
    x = 4,917.37

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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.