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Finding the Fourth Proportional to 27,879, 41,824.98 and 9,411

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Solution

The fourth proportional to 27,879, 41,824.98 and 9,411 is: 14,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879 : 41,824.98 = 9,411 : x
  2. Step 2: Convert to fraction form
    27,879/41,824.98 = 9,411/x
  3. Step 3: Cross multiply
    27,879x = 41,824.98 × 9,411
  4. Step 4: Simplify right side
    27,879x = 393,614,886.78
  5. Step 5: Solve for x
    x = 393,614,886.78/27,879
  6. Step 6: Final answer
    x = 14,118.69

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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.