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Finding the Fourth Proportional to 13,443.98, 20,160.09 and 7,202.12

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Solution

The fourth proportional to 13,443.98, 20,160.09 and 7,202.12 is: 10,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.98 : 20,160.09 = 7,202.12 : x
  2. Step 2: Convert to fraction form
    13,443.98/20,160.09 = 7,202.12/x
  3. Step 3: Cross multiply
    13,443.98x = 20,160.09 × 7,202.12
  4. Step 4: Simplify right side
    13,443.98x = 145,195,286.59
  5. Step 5: Solve for x
    x = 145,195,286.59/13,443.98
  6. Step 6: Final answer
    x = 10,800.03

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1.5x scale

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.