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Finding the Fourth Proportional to 27,668, 38,181.84 and 15,092.80

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Solution

The fourth proportional to 27,668, 38,181.84 and 15,092.80 is: 20,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668 : 38,181.84 = 15,092.80 : x
  2. Step 2: Convert to fraction form
    27,668/38,181.84 = 15,092.80/x
  3. Step 3: Cross multiply
    27,668x = 38,181.84 × 15,092.80
  4. Step 4: Simplify right side
    27,668x = 576,270,874.75
  5. Step 5: Solve for x
    x = 576,270,874.75/27,668
  6. Step 6: Final answer
    x = 20,828.06

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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.