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Finding the Fourth Proportional to 22,326, 30,810 and 13,947.36

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Solution

The fourth proportional to 22,326, 30,810 and 13,947.36 is: 19,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326 : 30,810 = 13,947.36 : x
  2. Step 2: Convert to fraction form
    22,326/30,810 = 13,947.36/x
  3. Step 3: Cross multiply
    22,326x = 30,810 × 13,947.36
  4. Step 4: Simplify right side
    22,326x = 429,718,161.60
  5. Step 5: Solve for x
    x = 429,718,161.60/22,326
  6. Step 6: Final answer
    x = 19,247.43

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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.