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Finding the Fourth Proportional to 27,867, 38,456.52 and 15,291.80

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Solution

The fourth proportional to 27,867, 38,456.52 and 15,291.80 is: 21,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867 : 38,456.52 = 15,291.80 : x
  2. Step 2: Convert to fraction form
    27,867/38,456.52 = 15,291.80/x
  3. Step 3: Cross multiply
    27,867x = 38,456.52 × 15,291.80
  4. Step 4: Simplify right side
    27,867x = 588,069,412.54
  5. Step 5: Solve for x
    x = 588,069,412.54/27,867
  6. Step 6: Final answer
    x = 21,102.72

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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.