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Finding the Fourth Proportional to 21,891.08, 32,839.86 and 8,039

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Solution

The fourth proportional to 21,891.08, 32,839.86 and 8,039 is: 12,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.08 : 32,839.86 = 8,039 : x
  2. Step 2: Convert to fraction form
    21,891.08/32,839.86 = 8,039/x
  3. Step 3: Cross multiply
    21,891.08x = 32,839.86 × 8,039
  4. Step 4: Simplify right side
    21,891.08x = 263,999,634.54
  5. Step 5: Solve for x
    x = 263,999,634.54/21,891.08
  6. Step 6: Final answer
    x = 12,059.69

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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.