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Finding the Fourth Proportional to 27,806, 38,372.29 and 15,231.20

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Solution

The fourth proportional to 27,806, 38,372.29 and 15,231.20 is: 21,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806 : 38,372.29 = 15,231.20 : x
  2. Step 2: Convert to fraction form
    27,806/38,372.29 = 15,231.20/x
  3. Step 3: Cross multiply
    27,806x = 38,372.29 × 15,231.20
  4. Step 4: Simplify right side
    27,806x = 584,456,023.45
  5. Step 5: Solve for x
    x = 584,456,023.45/27,806
  6. Step 6: Final answer
    x = 21,019.06

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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.