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Finding the Fourth Proportional to 15,867, 21,896.46 and 8,793.90

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Solution

The fourth proportional to 15,867, 21,896.46 and 8,793.90 is: 12,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867 : 21,896.46 = 8,793.90 : x
  2. Step 2: Convert to fraction form
    15,867/21,896.46 = 8,793.90/x
  3. Step 3: Cross multiply
    15,867x = 21,896.46 × 8,793.90
  4. Step 4: Simplify right side
    15,867x = 192,555,279.59
  5. Step 5: Solve for x
    x = 192,555,279.59/15,867
  6. Step 6: Final answer
    x = 12,135.58

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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.