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Finding the Fourth Proportional to 20,612, 30,918 and 6,761

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Solution

The fourth proportional to 20,612, 30,918 and 6,761 is: 10,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612 : 30,918 = 6,761 : x
  2. Step 2: Convert to fraction form
    20,612/30,918 = 6,761/x
  3. Step 3: Cross multiply
    20,612x = 30,918 × 6,761
  4. Step 4: Simplify right side
    20,612x = 209,036,598
  5. Step 5: Solve for x
    x = 209,036,598/20,612
  6. Step 6: Final answer
    x = 10,141.50

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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.