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Finding the Fourth Proportional to 27,825, 38,398.50 and 15,249.48

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Solution

The fourth proportional to 27,825, 38,398.50 and 15,249.48 is: 21,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 38,398.50 = 15,249.48 : x
  2. Step 2: Convert to fraction form
    27,825/38,398.50 = 15,249.48/x
  3. Step 3: Cross multiply
    27,825x = 38,398.50 × 15,249.48
  4. Step 4: Simplify right side
    27,825x = 585,557,157.78
  5. Step 5: Solve for x
    x = 585,557,157.78/27,825
  6. Step 6: Final answer
    x = 21,044.28

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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.