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Finding the Fourth Proportional to 27,317, 40,982 and 8,849

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Solution

The fourth proportional to 27,317, 40,982 and 8,849 is: 13,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317 : 40,982 = 8,849 : x
  2. Step 2: Convert to fraction form
    27,317/40,982 = 8,849/x
  3. Step 3: Cross multiply
    27,317x = 40,982 × 8,849
  4. Step 4: Simplify right side
    27,317x = 362,649,718
  5. Step 5: Solve for x
    x = 362,649,718/27,317
  6. Step 6: Final answer
    x = 13,275.61

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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.