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Finding the Fourth Proportional to 30,357, 41,892.66 and 17,109

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Solution

The fourth proportional to 30,357, 41,892.66 and 17,109 is: 23,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357 : 41,892.66 = 17,109 : x
  2. Step 2: Convert to fraction form
    30,357/41,892.66 = 17,109/x
  3. Step 3: Cross multiply
    30,357x = 41,892.66 × 17,109
  4. Step 4: Simplify right side
    30,357x = 716,741,519.94
  5. Step 5: Solve for x
    x = 716,741,519.94/30,357
  6. Step 6: Final answer
    x = 23,610.42

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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.