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Finding the Fourth Proportional to 20,586, 30,879 and 6,735

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Solution

The fourth proportional to 20,586, 30,879 and 6,735 is: 10,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586 : 30,879 = 6,735 : x
  2. Step 2: Convert to fraction form
    20,586/30,879 = 6,735/x
  3. Step 3: Cross multiply
    20,586x = 30,879 × 6,735
  4. Step 4: Simplify right side
    20,586x = 207,970,065
  5. Step 5: Solve for x
    x = 207,970,065/20,586
  6. Step 6: Final answer
    x = 10,102.50

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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.