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Finding the Fourth Proportional to 7,734.78, 10,674.12 and 4,198.08

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Solution

The fourth proportional to 7,734.78, 10,674.12 and 4,198.08 is: 5,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.78 : 10,674.12 = 4,198.08 : x
  2. Step 2: Convert to fraction form
    7,734.78/10,674.12 = 4,198.08/x
  3. Step 3: Cross multiply
    7,734.78x = 10,674.12 × 4,198.08
  4. Step 4: Simplify right side
    7,734.78x = 44,810,809.69
  5. Step 5: Solve for x
    x = 44,810,809.69/7,734.78
  6. Step 6: Final answer
    x = 5,793.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.