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Finding the Fourth Proportional to 23,144, 31,996.32 and 22,164.80

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Solution

The fourth proportional to 23,144, 31,996.32 and 22,164.80 is: 30,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 31,996.32 = 22,164.80 : x
  2. Step 2: Convert to fraction form
    23,144/31,996.32 = 22,164.80/x
  3. Step 3: Cross multiply
    23,144x = 31,996.32 × 22,164.80
  4. Step 4: Simplify right side
    23,144x = 709,192,033.54
  5. Step 5: Solve for x
    x = 709,192,033.54/23,144
  6. Step 6: Final answer
    x = 30,642.59

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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.