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Finding the Fourth Proportional to 20,504.50, 30,769.72 and 11,756.50

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Solution

The fourth proportional to 20,504.50, 30,769.72 and 11,756.50 is: 17,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.50 : 30,769.72 = 11,756.50 : x
  2. Step 2: Convert to fraction form
    20,504.50/30,769.72 = 11,756.50/x
  3. Step 3: Cross multiply
    20,504.50x = 30,769.72 × 11,756.50
  4. Step 4: Simplify right side
    20,504.50x = 361,744,213.18
  5. Step 5: Solve for x
    x = 361,744,213.18/20,504.50
  6. Step 6: Final answer
    x = 17,642.19

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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.