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Finding the Fourth Proportional to 33,670, 46,469.10 and 21,768.04

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Solution

The fourth proportional to 33,670, 46,469.10 and 21,768.04 is: 30,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670 : 46,469.10 = 21,768.04 : x
  2. Step 2: Convert to fraction form
    33,670/46,469.10 = 21,768.04/x
  3. Step 3: Cross multiply
    33,670x = 46,469.10 × 21,768.04
  4. Step 4: Simplify right side
    33,670x = 1,011,541,227.56
  5. Step 5: Solve for x
    x = 1,011,541,227.56/33,670
  6. Step 6: Final answer
    x = 30,042.80

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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.