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Finding the Fourth Proportional to 21,630, 29,849.43 and 11,694

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Solution

The fourth proportional to 21,630, 29,849.43 and 11,694 is: 16,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,630 : 29,849.43 = 11,694 : x
  2. Step 2: Convert to fraction form
    21,630/29,849.43 = 11,694/x
  3. Step 3: Cross multiply
    21,630x = 29,849.43 × 11,694
  4. Step 4: Simplify right side
    21,630x = 349,059,234.42
  5. Step 5: Solve for x
    x = 349,059,234.42/21,630
  6. Step 6: Final answer
    x = 16,137.74

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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.