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Finding the Fourth Proportional to 22,309.51, 30,786.87 and 12,877.87

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Solution

The fourth proportional to 22,309.51, 30,786.87 and 12,877.87 is: 17,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.51 : 30,786.87 = 12,877.87 : x
  2. Step 2: Convert to fraction form
    22,309.51/30,786.87 = 12,877.87/x
  3. Step 3: Cross multiply
    22,309.51x = 30,786.87 × 12,877.87
  4. Step 4: Simplify right side
    22,309.51x = 396,469,309.57
  5. Step 5: Solve for x
    x = 396,469,309.57/22,309.51
  6. Step 6: Final answer
    x = 17,771.31

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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.