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Finding the Fourth Proportional to 27,978.99, 41,940.41 and 12,996.62

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Solution

The fourth proportional to 27,978.99, 41,940.41 and 12,996.62 is: 19,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.99 : 41,940.41 = 12,996.62 : x
  2. Step 2: Convert to fraction form
    27,978.99/41,940.41 = 12,996.62/x
  3. Step 3: Cross multiply
    27,978.99x = 41,940.41 × 12,996.62
  4. Step 4: Simplify right side
    27,978.99x = 545,083,763.03
  5. Step 5: Solve for x
    x = 545,083,763.03/27,978.99
  6. Step 6: Final answer
    x = 19,481.90

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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.