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Finding the Fourth Proportional to 27,978.45, 38,609.32 and 15,231.39

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Solution

The fourth proportional to 27,978.45, 38,609.32 and 15,231.39 is: 21,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.45 : 38,609.32 = 15,231.39 : x
  2. Step 2: Convert to fraction form
    27,978.45/38,609.32 = 15,231.39/x
  3. Step 3: Cross multiply
    27,978.45x = 38,609.32 × 15,231.39
  4. Step 4: Simplify right side
    27,978.45x = 588,073,694.85
  5. Step 5: Solve for x
    x = 588,073,694.85/27,978.45
  6. Step 6: Final answer
    x = 21,018.81

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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.