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Finding the Fourth Proportional to 19,930, 29,893.77 and 8,234.83

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Solution

The fourth proportional to 19,930, 29,893.77 and 8,234.83 is: 12,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930 : 29,893.77 = 8,234.83 : x
  2. Step 2: Convert to fraction form
    19,930/29,893.77 = 8,234.83/x
  3. Step 3: Cross multiply
    19,930x = 29,893.77 × 8,234.83
  4. Step 4: Simplify right side
    19,930x = 246,170,114.01
  5. Step 5: Solve for x
    x = 246,170,114.01/19,930
  6. Step 6: Final answer
    x = 12,351.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.