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Finding the Fourth Proportional to 21,080.28, 29,092.50 and 11,649

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Solution

The fourth proportional to 21,080.28, 29,092.50 and 11,649 is: 16,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080.28 : 29,092.50 = 11,649 : x
  2. Step 2: Convert to fraction form
    21,080.28/29,092.50 = 11,649/x
  3. Step 3: Cross multiply
    21,080.28x = 29,092.50 × 11,649
  4. Step 4: Simplify right side
    21,080.28x = 338,898,532.50
  5. Step 5: Solve for x
    x = 338,898,532.50/21,080.28
  6. Step 6: Final answer
    x = 16,076.57

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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.