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Finding the Fourth Proportional to 20,094, 30,141 and 7,782

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Solution

The fourth proportional to 20,094, 30,141 and 7,782 is: 11,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094 : 30,141 = 7,782 : x
  2. Step 2: Convert to fraction form
    20,094/30,141 = 7,782/x
  3. Step 3: Cross multiply
    20,094x = 30,141 × 7,782
  4. Step 4: Simplify right side
    20,094x = 234,557,262
  5. Step 5: Solve for x
    x = 234,557,262/20,094
  6. Step 6: Final answer
    x = 11,673

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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.