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Finding the Fourth Proportional to 20,100, 27,738 and 11,714.88

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Solution

The fourth proportional to 20,100, 27,738 and 11,714.88 is: 16,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100 : 27,738 = 11,714.88 : x
  2. Step 2: Convert to fraction form
    20,100/27,738 = 11,714.88/x
  3. Step 3: Cross multiply
    20,100x = 27,738 × 11,714.88
  4. Step 4: Simplify right side
    20,100x = 324,947,341.44
  5. Step 5: Solve for x
    x = 324,947,341.44/20,100
  6. Step 6: Final answer
    x = 16,166.53

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1.5x scale

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.