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Finding the Fourth Proportional to 21,675, 29,911.50 and 11,739

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Solution

The fourth proportional to 21,675, 29,911.50 and 11,739 is: 16,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675 : 29,911.50 = 11,739 : x
  2. Step 2: Convert to fraction form
    21,675/29,911.50 = 11,739/x
  3. Step 3: Cross multiply
    21,675x = 29,911.50 × 11,739
  4. Step 4: Simplify right side
    21,675x = 351,131,098.50
  5. Step 5: Solve for x
    x = 351,131,098.50/21,675
  6. Step 6: Final answer
    x = 16,199.82

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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.