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Finding the Fourth Proportional to 15,843.09, 21,863.93 and 8,769.97

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Solution

The fourth proportional to 15,843.09, 21,863.93 and 8,769.97 is: 12,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.09 : 21,863.93 = 8,769.97 : x
  2. Step 2: Convert to fraction form
    15,843.09/21,863.93 = 8,769.97/x
  3. Step 3: Cross multiply
    15,843.09x = 21,863.93 × 8,769.97
  4. Step 4: Simplify right side
    15,843.09x = 191,745,993.66
  5. Step 5: Solve for x
    x = 191,745,993.66/15,843.09
  6. Step 6: Final answer
    x = 12,102.81

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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.