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Finding the Fourth Proportional to 20,117, 27,761.46 and 11,285

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Solution

The fourth proportional to 20,117, 27,761.46 and 11,285 is: 15,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117 : 27,761.46 = 11,285 : x
  2. Step 2: Convert to fraction form
    20,117/27,761.46 = 11,285/x
  3. Step 3: Cross multiply
    20,117x = 27,761.46 × 11,285
  4. Step 4: Simplify right side
    20,117x = 313,288,076.10
  5. Step 5: Solve for x
    x = 313,288,076.10/20,117
  6. Step 6: Final answer
    x = 15,573.30

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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.