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Finding the Fourth Proportional to 21,879, 32,823.36 and 8,028

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Solution

The fourth proportional to 21,879, 32,823.36 and 8,028 is: 12,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879 : 32,823.36 = 8,028 : x
  2. Step 2: Convert to fraction form
    21,879/32,823.36 = 8,028/x
  3. Step 3: Cross multiply
    21,879x = 32,823.36 × 8,028
  4. Step 4: Simplify right side
    21,879x = 263,505,934.08
  5. Step 5: Solve for x
    x = 263,505,934.08/21,879
  6. Step 6: Final answer
    x = 12,043.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.