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Finding the Fourth Proportional to 27,679.38, 38,197.71 and 15,104.22

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Solution

The fourth proportional to 27,679.38, 38,197.71 and 15,104.22 is: 20,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.38 : 38,197.71 = 15,104.22 : x
  2. Step 2: Convert to fraction form
    27,679.38/38,197.71 = 15,104.22/x
  3. Step 3: Cross multiply
    27,679.38x = 38,197.71 × 15,104.22
  4. Step 4: Simplify right side
    27,679.38x = 576,946,615.34
  5. Step 5: Solve for x
    x = 576,946,615.34/27,679.38
  6. Step 6: Final answer
    x = 20,843.91

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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.