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Finding the Fourth Proportional to 8,072.88, 12,105.54 and 4,786.44

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Solution

The fourth proportional to 8,072.88, 12,105.54 and 4,786.44 is: 7,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.88 : 12,105.54 = 4,786.44 : x
  2. Step 2: Convert to fraction form
    8,072.88/12,105.54 = 4,786.44/x
  3. Step 3: Cross multiply
    8,072.88x = 12,105.54 × 4,786.44
  4. Step 4: Simplify right side
    8,072.88x = 57,942,440.88
  5. Step 5: Solve for x
    x = 57,942,440.88/8,072.88
  6. Step 6: Final answer
    x = 7,177.42

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1.5x scale

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.