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Finding the Fourth Proportional to 27,872, 41,808 and 11,456

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Solution

The fourth proportional to 27,872, 41,808 and 11,456 is: 17,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872 : 41,808 = 11,456 : x
  2. Step 2: Convert to fraction form
    27,872/41,808 = 11,456/x
  3. Step 3: Cross multiply
    27,872x = 41,808 × 11,456
  4. Step 4: Simplify right side
    27,872x = 478,952,448
  5. Step 5: Solve for x
    x = 478,952,448/27,872
  6. Step 6: Final answer
    x = 17,184

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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.