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Finding the Fourth Proportional to 21,754, 32,631 and 7,906.24

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Solution

The fourth proportional to 21,754, 32,631 and 7,906.24 is: 11,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754 : 32,631 = 7,906.24 : x
  2. Step 2: Convert to fraction form
    21,754/32,631 = 7,906.24/x
  3. Step 3: Cross multiply
    21,754x = 32,631 × 7,906.24
  4. Step 4: Simplify right side
    21,754x = 257,988,517.44
  5. Step 5: Solve for x
    x = 257,988,517.44/21,754
  6. Step 6: Final answer
    x = 11,859.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.