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Finding the Fourth Proportional to 33,122, 45,709.08 and 18,218

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Solution

The fourth proportional to 33,122, 45,709.08 and 18,218 is: 25,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122 : 45,709.08 = 18,218 : x
  2. Step 2: Convert to fraction form
    33,122/45,709.08 = 18,218/x
  3. Step 3: Cross multiply
    33,122x = 45,709.08 × 18,218
  4. Step 4: Simplify right side
    33,122x = 832,728,019.44
  5. Step 5: Solve for x
    x = 832,728,019.44/33,122
  6. Step 6: Final answer
    x = 25,141.24

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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.