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Finding the Fourth Proportional to 7,469.72, 11,205.15 and 1,923.11

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Solution

The fourth proportional to 7,469.72, 11,205.15 and 1,923.11 is: 2,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.72 : 11,205.15 = 1,923.11 : x
  2. Step 2: Convert to fraction form
    7,469.72/11,205.15 = 1,923.11/x
  3. Step 3: Cross multiply
    7,469.72x = 11,205.15 × 1,923.11
  4. Step 4: Simplify right side
    7,469.72x = 21,548,736.02
  5. Step 5: Solve for x
    x = 21,548,736.02/7,469.72
  6. Step 6: Final answer
    x = 2,884.81

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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.