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Finding the Fourth Proportional to 27,845, 38,425.68 and 15,097.82

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Solution

The fourth proportional to 27,845, 38,425.68 and 15,097.82 is: 20,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845 : 38,425.68 = 15,097.82 : x
  2. Step 2: Convert to fraction form
    27,845/38,425.68 = 15,097.82/x
  3. Step 3: Cross multiply
    27,845x = 38,425.68 × 15,097.82
  4. Step 4: Simplify right side
    27,845x = 580,144,000.02
  5. Step 5: Solve for x
    x = 580,144,000.02/27,845
  6. Step 6: Final answer
    x = 20,834.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.