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Finding the Fourth Proportional to 16,102, 22,213.20 and 11,388.88

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Solution

The fourth proportional to 16,102, 22,213.20 and 11,388.88 is: 15,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102 : 22,213.20 = 11,388.88 : x
  2. Step 2: Convert to fraction form
    16,102/22,213.20 = 11,388.88/x
  3. Step 3: Cross multiply
    16,102x = 22,213.20 × 11,388.88
  4. Step 4: Simplify right side
    16,102x = 252,983,469.22
  5. Step 5: Solve for x
    x = 252,983,469.22/16,102
  6. Step 6: Final answer
    x = 15,711.31

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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.