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Finding the Fourth Proportional to 20,370, 30,550.20 and 8,517.48

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Solution

The fourth proportional to 20,370, 30,550.20 and 8,517.48 is: 12,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,370 : 30,550.20 = 8,517.48 : x
  2. Step 2: Convert to fraction form
    20,370/30,550.20 = 8,517.48/x
  3. Step 3: Cross multiply
    20,370x = 30,550.20 × 8,517.48
  4. Step 4: Simplify right side
    20,370x = 260,210,717.50
  5. Step 5: Solve for x
    x = 260,210,717.50/20,370
  6. Step 6: Final answer
    x = 12,774.21

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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.