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Finding the Fourth Proportional to 27,407, 41,117 and 8,939

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Solution

The fourth proportional to 27,407, 41,117 and 8,939 is: 13,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407 : 41,117 = 8,939 : x
  2. Step 2: Convert to fraction form
    27,407/41,117 = 8,939/x
  3. Step 3: Cross multiply
    27,407x = 41,117 × 8,939
  4. Step 4: Simplify right side
    27,407x = 367,544,863
  5. Step 5: Solve for x
    x = 367,544,863/27,407
  6. Step 6: Final answer
    x = 13,410.62

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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.