Home / 20,831-31,227.96-7,680.20

Finding the Fourth Proportional to 20,831, 31,227.96 and 7,680.20

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Solution

The fourth proportional to 20,831, 31,227.96 and 7,680.20 is: 11,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831 : 31,227.96 = 7,680.20 : x
  2. Step 2: Convert to fraction form
    20,831/31,227.96 = 7,680.20/x
  3. Step 3: Cross multiply
    20,831x = 31,227.96 × 7,680.20
  4. Step 4: Simplify right side
    20,831x = 239,836,978.39
  5. Step 5: Solve for x
    x = 239,836,978.39/20,831
  6. Step 6: Final answer
    x = 11,513.46

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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.