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Finding the Fourth Proportional to 21,793, 30,074.98 and 11,857.64

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Solution

The fourth proportional to 21,793, 30,074.98 and 11,857.64 is: 16,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793 : 30,074.98 = 11,857.64 : x
  2. Step 2: Convert to fraction form
    21,793/30,074.98 = 11,857.64/x
  3. Step 3: Cross multiply
    21,793x = 30,074.98 × 11,857.64
  4. Step 4: Simplify right side
    21,793x = 356,618,285.85
  5. Step 5: Solve for x
    x = 356,618,285.85/21,793
  6. Step 6: Final answer
    x = 16,363.89

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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.