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Finding the Fourth Proportional to 11,005, 16,507.50 and 3,213.88

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Solution

The fourth proportional to 11,005, 16,507.50 and 3,213.88 is: 4,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005 : 16,507.50 = 3,213.88 : x
  2. Step 2: Convert to fraction form
    11,005/16,507.50 = 3,213.88/x
  3. Step 3: Cross multiply
    11,005x = 16,507.50 × 3,213.88
  4. Step 4: Simplify right side
    11,005x = 53,053,124.10
  5. Step 5: Solve for x
    x = 53,053,124.10/11,005
  6. Step 6: Final answer
    x = 4,820.82

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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.