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Finding the Fourth Proportional to 13,364.40, 20,033.80 and 10,401.20

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Solution

The fourth proportional to 13,364.40, 20,033.80 and 10,401.20 is: 15,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.40 : 20,033.80 = 10,401.20 : x
  2. Step 2: Convert to fraction form
    13,364.40/20,033.80 = 10,401.20/x
  3. Step 3: Cross multiply
    13,364.40x = 20,033.80 × 10,401.20
  4. Step 4: Simplify right side
    13,364.40x = 208,375,560.56
  5. Step 5: Solve for x
    x = 208,375,560.56/13,364.40
  6. Step 6: Final answer
    x = 15,591.84

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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.