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Finding the Fourth Proportional to 27,904, 41,856 and 8,448

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Solution

The fourth proportional to 27,904, 41,856 and 8,448 is: 12,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904 : 41,856 = 8,448 : x
  2. Step 2: Convert to fraction form
    27,904/41,856 = 8,448/x
  3. Step 3: Cross multiply
    27,904x = 41,856 × 8,448
  4. Step 4: Simplify right side
    27,904x = 353,599,488
  5. Step 5: Solve for x
    x = 353,599,488/27,904
  6. Step 6: Final answer
    x = 12,672

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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.