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Finding the Fourth Proportional to 11,213.80, 16,820.09 and 3,422

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Solution

The fourth proportional to 11,213.80, 16,820.09 and 3,422 is: 5,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.80 : 16,820.09 = 3,422 : x
  2. Step 2: Convert to fraction form
    11,213.80/16,820.09 = 3,422/x
  3. Step 3: Cross multiply
    11,213.80x = 16,820.09 × 3,422
  4. Step 4: Simplify right side
    11,213.80x = 57,558,347.98
  5. Step 5: Solve for x
    x = 57,558,347.98/11,213.80
  6. Step 6: Final answer
    x = 5,132.81

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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.