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Finding the Fourth Proportional to 20,179, 30,263.82 and 7,694.56

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Solution

The fourth proportional to 20,179, 30,263.82 and 7,694.56 is: 11,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 30,263.82 = 7,694.56 : x
  2. Step 2: Convert to fraction form
    20,179/30,263.82 = 7,694.56/x
  3. Step 3: Cross multiply
    20,179x = 30,263.82 × 7,694.56
  4. Step 4: Simplify right side
    20,179x = 232,866,778.82
  5. Step 5: Solve for x
    x = 232,866,778.82/20,179
  6. Step 6: Final answer
    x = 11,540.06

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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.