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Finding the Fourth Proportional to 20,636, 28,478.76 and 12,138.56

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Solution

The fourth proportional to 20,636, 28,478.76 and 12,138.56 is: 16,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,636 : 28,478.76 = 12,138.56 : x
  2. Step 2: Convert to fraction form
    20,636/28,478.76 = 12,138.56/x
  3. Step 3: Cross multiply
    20,636x = 28,478.76 × 12,138.56
  4. Step 4: Simplify right side
    20,636x = 345,691,136.99
  5. Step 5: Solve for x
    x = 345,691,136.99/20,636
  6. Step 6: Final answer
    x = 16,751.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.