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Finding the Fourth Proportional to 20,275.68, 27,987.12 and 11,892

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Solution

The fourth proportional to 20,275.68, 27,987.12 and 11,892 is: 16,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.68 : 27,987.12 = 11,892 : x
  2. Step 2: Convert to fraction form
    20,275.68/27,987.12 = 11,892/x
  3. Step 3: Cross multiply
    20,275.68x = 27,987.12 × 11,892
  4. Step 4: Simplify right side
    20,275.68x = 332,822,831.04
  5. Step 5: Solve for x
    x = 332,822,831.04/20,275.68
  6. Step 6: Final answer
    x = 16,414.88

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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.