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Finding the Fourth Proportional to 27,658.16, 38,169.24 and 15,722

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Solution

The fourth proportional to 27,658.16, 38,169.24 and 15,722 is: 21,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.16 : 38,169.24 = 15,722 : x
  2. Step 2: Convert to fraction form
    27,658.16/38,169.24 = 15,722/x
  3. Step 3: Cross multiply
    27,658.16x = 38,169.24 × 15,722
  4. Step 4: Simplify right side
    27,658.16x = 600,096,791.28
  5. Step 5: Solve for x
    x = 600,096,791.28/27,658.16
  6. Step 6: Final answer
    x = 21,696.92

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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.