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Finding the Fourth Proportional to 7,923, 11,884.53 and 2,079.48

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Solution

The fourth proportional to 7,923, 11,884.53 and 2,079.48 is: 3,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923 : 11,884.53 = 2,079.48 : x
  2. Step 2: Convert to fraction form
    7,923/11,884.53 = 2,079.48/x
  3. Step 3: Cross multiply
    7,923x = 11,884.53 × 2,079.48
  4. Step 4: Simplify right side
    7,923x = 24,713,642.44
  5. Step 5: Solve for x
    x = 24,713,642.44/7,923
  6. Step 6: Final answer
    x = 3,119.23

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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.