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Finding the Fourth Proportional to 27,998.22, 41,998.86 and 11,355.78

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Solution

The fourth proportional to 27,998.22, 41,998.86 and 11,355.78 is: 17,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.22 : 41,998.86 = 11,355.78 : x
  2. Step 2: Convert to fraction form
    27,998.22/41,998.86 = 11,355.78/x
  3. Step 3: Cross multiply
    27,998.22x = 41,998.86 × 11,355.78
  4. Step 4: Simplify right side
    27,998.22x = 476,929,814.41
  5. Step 5: Solve for x
    x = 476,929,814.41/27,998.22
  6. Step 6: Final answer
    x = 17,034.29

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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.