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Finding the Fourth Proportional to 20,227.65, 30,321.88 and 7,738.06

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Solution

The fourth proportional to 20,227.65, 30,321.88 and 7,738.06 is: 11,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.65 : 30,321.88 = 7,738.06 : x
  2. Step 2: Convert to fraction form
    20,227.65/30,321.88 = 7,738.06/x
  3. Step 3: Cross multiply
    20,227.65x = 30,321.88 × 7,738.06
  4. Step 4: Simplify right side
    20,227.65x = 234,632,365.47
  5. Step 5: Solve for x
    x = 234,632,365.47/20,227.65
  6. Step 6: Final answer
    x = 11,599.59

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1.5x scale

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.