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Finding the Fourth Proportional to 21,647, 29,872.86 and 11,711

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Solution

The fourth proportional to 21,647, 29,872.86 and 11,711 is: 16,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647 : 29,872.86 = 11,711 : x
  2. Step 2: Convert to fraction form
    21,647/29,872.86 = 11,711/x
  3. Step 3: Cross multiply
    21,647x = 29,872.86 × 11,711
  4. Step 4: Simplify right side
    21,647x = 349,841,063.46
  5. Step 5: Solve for x
    x = 349,841,063.46/21,647
  6. Step 6: Final answer
    x = 16,161.18

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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.