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Finding the Fourth Proportional to 27,680, 41,520 and 8,224

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Solution

The fourth proportional to 27,680, 41,520 and 8,224 is: 12,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680 : 41,520 = 8,224 : x
  2. Step 2: Convert to fraction form
    27,680/41,520 = 8,224/x
  3. Step 3: Cross multiply
    27,680x = 41,520 × 8,224
  4. Step 4: Simplify right side
    27,680x = 341,460,480
  5. Step 5: Solve for x
    x = 341,460,480/27,680
  6. Step 6: Final answer
    x = 12,336

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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.