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Finding the Fourth Proportional to 33,660, 46,450.80 and 18,756

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Solution

The fourth proportional to 33,660, 46,450.80 and 18,756 is: 25,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660 : 46,450.80 = 18,756 : x
  2. Step 2: Convert to fraction form
    33,660/46,450.80 = 18,756/x
  3. Step 3: Cross multiply
    33,660x = 46,450.80 × 18,756
  4. Step 4: Simplify right side
    33,660x = 871,231,204.80
  5. Step 5: Solve for x
    x = 871,231,204.80/33,660
  6. Step 6: Final answer
    x = 25,883.28

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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.