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Finding the Fourth Proportional to 7,950, 11,924.46 and 3,268.80

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Solution

The fourth proportional to 7,950, 11,924.46 and 3,268.80 is: 4,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950 : 11,924.46 = 3,268.80 : x
  2. Step 2: Convert to fraction form
    7,950/11,924.46 = 3,268.80/x
  3. Step 3: Cross multiply
    7,950x = 11,924.46 × 3,268.80
  4. Step 4: Simplify right side
    7,950x = 38,978,674.85
  5. Step 5: Solve for x
    x = 38,978,674.85/7,950
  6. Step 6: Final answer
    x = 4,902.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.