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Finding the Fourth Proportional to 27,978.47, 38,609.10 and 15,231.68

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Solution

The fourth proportional to 27,978.47, 38,609.10 and 15,231.68 is: 21,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.47 : 38,609.10 = 15,231.68 : x
  2. Step 2: Convert to fraction form
    27,978.47/38,609.10 = 15,231.68/x
  3. Step 3: Cross multiply
    27,978.47x = 38,609.10 × 15,231.68
  4. Step 4: Simplify right side
    27,978.47x = 588,081,456.29
  5. Step 5: Solve for x
    x = 588,081,456.29/27,978.47
  6. Step 6: Final answer
    x = 21,019.07

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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.