Home / 20,764-31,149.36-6,727.56

Finding the Fourth Proportional to 20,764, 31,149.36 and 6,727.56

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Solution

The fourth proportional to 20,764, 31,149.36 and 6,727.56 is: 10,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 31,149.36 = 6,727.56 : x
  2. Step 2: Convert to fraction form
    20,764/31,149.36 = 6,727.56/x
  3. Step 3: Cross multiply
    20,764x = 31,149.36 × 6,727.56
  4. Step 4: Simplify right side
    20,764x = 209,559,188.36
  5. Step 5: Solve for x
    x = 209,559,188.36/20,764
  6. Step 6: Final answer
    x = 10,092.43

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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.