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Finding the Fourth Proportional to 27,315, 40,979 and 8,847

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Solution

The fourth proportional to 27,315, 40,979 and 8,847 is: 13,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,315 : 40,979 = 8,847 : x
  2. Step 2: Convert to fraction form
    27,315/40,979 = 8,847/x
  3. Step 3: Cross multiply
    27,315x = 40,979 × 8,847
  4. Step 4: Simplify right side
    27,315x = 362,541,213
  5. Step 5: Solve for x
    x = 362,541,213/27,315
  6. Step 6: Final answer
    x = 13,272.61

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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.