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Finding the Fourth Proportional to 30,067, 41,494.38 and 16,819

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Solution

The fourth proportional to 30,067, 41,494.38 and 16,819 is: 23,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,067 : 41,494.38 = 16,819 : x
  2. Step 2: Convert to fraction form
    30,067/41,494.38 = 16,819/x
  3. Step 3: Cross multiply
    30,067x = 41,494.38 × 16,819
  4. Step 4: Simplify right side
    30,067x = 697,893,977.22
  5. Step 5: Solve for x
    x = 697,893,977.22/30,067
  6. Step 6: Final answer
    x = 23,211.29

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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.