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Finding the Fourth Proportional to 27,218.43, 40,828.05 and 9,687.80

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Solution

The fourth proportional to 27,218.43, 40,828.05 and 9,687.80 is: 14,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218.43 : 40,828.05 = 9,687.80 : x
  2. Step 2: Convert to fraction form
    27,218.43/40,828.05 = 9,687.80/x
  3. Step 3: Cross multiply
    27,218.43x = 40,828.05 × 9,687.80
  4. Step 4: Simplify right side
    27,218.43x = 395,534,084.86
  5. Step 5: Solve for x
    x = 395,534,084.86/27,218.43
  6. Step 6: Final answer
    x = 14,531.85

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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.