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Finding the Fourth Proportional to 15,805.44, 21,811.48 and 8,731.86

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Solution

The fourth proportional to 15,805.44, 21,811.48 and 8,731.86 is: 12,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.44 : 21,811.48 = 8,731.86 : x
  2. Step 2: Convert to fraction form
    15,805.44/21,811.48 = 8,731.86/x
  3. Step 3: Cross multiply
    15,805.44x = 21,811.48 × 8,731.86
  4. Step 4: Simplify right side
    15,805.44x = 190,454,789.75
  5. Step 5: Solve for x
    x = 190,454,789.75/15,805.44
  6. Step 6: Final answer
    x = 12,049.95

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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.