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Finding the Fourth Proportional to 30,321.54, 41,843.62 and 16,892

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Solution

The fourth proportional to 30,321.54, 41,843.62 and 16,892 is: 23,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.54 : 41,843.62 = 16,892 : x
  2. Step 2: Convert to fraction form
    30,321.54/41,843.62 = 16,892/x
  3. Step 3: Cross multiply
    30,321.54x = 41,843.62 × 16,892
  4. Step 4: Simplify right side
    30,321.54x = 706,822,429.04
  5. Step 5: Solve for x
    x = 706,822,429.04/30,321.54
  6. Step 6: Final answer
    x = 23,310.90

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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.