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Finding the Fourth Proportional to 27,912, 41,874.16 and 9,197.80

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Solution

The fourth proportional to 27,912, 41,874.16 and 9,197.80 is: 13,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 41,874.16 = 9,197.80 : x
  2. Step 2: Convert to fraction form
    27,912/41,874.16 = 9,197.80/x
  3. Step 3: Cross multiply
    27,912x = 41,874.16 × 9,197.80
  4. Step 4: Simplify right side
    27,912x = 385,150,148.85
  5. Step 5: Solve for x
    x = 385,150,148.85/27,912
  6. Step 6: Final answer
    x = 13,798.73

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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.