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Finding the Fourth Proportional to 21,631, 29,850.78 and 11,695

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Solution

The fourth proportional to 21,631, 29,850.78 and 11,695 is: 16,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,631 : 29,850.78 = 11,695 : x
  2. Step 2: Convert to fraction form
    21,631/29,850.78 = 11,695/x
  3. Step 3: Cross multiply
    21,631x = 29,850.78 × 11,695
  4. Step 4: Simplify right side
    21,631x = 349,104,872.10
  5. Step 5: Solve for x
    x = 349,104,872.10/21,631
  6. Step 6: Final answer
    x = 16,139.10

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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.