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Finding the Fourth Proportional to 18,351.25, 25,329.71 and 10,800

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Solution

The fourth proportional to 18,351.25, 25,329.71 and 10,800 is: 14,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,351.25 : 25,329.71 = 10,800 : x
  2. Step 2: Convert to fraction form
    18,351.25/25,329.71 = 10,800/x
  3. Step 3: Cross multiply
    18,351.25x = 25,329.71 × 10,800
  4. Step 4: Simplify right side
    18,351.25x = 273,560,895
  5. Step 5: Solve for x
    x = 273,560,895/18,351.25
  6. Step 6: Final answer
    x = 14,906.94

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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.