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Finding the Fourth Proportional to 20,555, 30,837.36 and 6,704

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Solution

The fourth proportional to 20,555, 30,837.36 and 6,704 is: 10,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,555 : 30,837.36 = 6,704 : x
  2. Step 2: Convert to fraction form
    20,555/30,837.36 = 6,704/x
  3. Step 3: Cross multiply
    20,555x = 30,837.36 × 6,704
  4. Step 4: Simplify right side
    20,555x = 206,733,661.44
  5. Step 5: Solve for x
    x = 206,733,661.44/20,555
  6. Step 6: Final answer
    x = 10,057.59

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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.