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Finding the Fourth Proportional to 21,086.88, 31,635.44 and 11,092

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Solution

The fourth proportional to 21,086.88, 31,635.44 and 11,092 is: 16,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.88 : 31,635.44 = 11,092 : x
  2. Step 2: Convert to fraction form
    21,086.88/31,635.44 = 11,092/x
  3. Step 3: Cross multiply
    21,086.88x = 31,635.44 × 11,092
  4. Step 4: Simplify right side
    21,086.88x = 350,900,300.48
  5. Step 5: Solve for x
    x = 350,900,300.48/21,086.88
  6. Step 6: Final answer
    x = 16,640.69

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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.