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Finding the Fourth Proportional to 13,604.40, 20,405.40 and 3,742.80

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Solution

The fourth proportional to 13,604.40, 20,405.40 and 3,742.80 is: 5,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.40 : 20,405.40 = 3,742.80 : x
  2. Step 2: Convert to fraction form
    13,604.40/20,405.40 = 3,742.80/x
  3. Step 3: Cross multiply
    13,604.40x = 20,405.40 × 3,742.80
  4. Step 4: Simplify right side
    13,604.40x = 76,373,331.12
  5. Step 5: Solve for x
    x = 76,373,331.12/13,604.40
  6. Step 6: Final answer
    x = 5,613.87

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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.