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Finding the Fourth Proportional to 13,769.80, 20,670.90 and 13,672.60

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Solution

The fourth proportional to 13,769.80, 20,670.90 and 13,672.60 is: 20,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.80 : 20,670.90 = 13,672.60 : x
  2. Step 2: Convert to fraction form
    13,769.80/20,670.90 = 13,672.60/x
  3. Step 3: Cross multiply
    13,769.80x = 20,670.90 × 13,672.60
  4. Step 4: Simplify right side
    13,769.80x = 282,624,947.34
  5. Step 5: Solve for x
    x = 282,624,947.34/13,769.80
  6. Step 6: Final answer
    x = 20,524.99

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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.