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Finding the Fourth Proportional to 13,857.97, 20,786.97 and 3,469.72

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Solution

The fourth proportional to 13,857.97, 20,786.97 and 3,469.72 is: 5,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.97 : 20,786.97 = 3,469.72 : x
  2. Step 2: Convert to fraction form
    13,857.97/20,786.97 = 3,469.72/x
  3. Step 3: Cross multiply
    13,857.97x = 20,786.97 × 3,469.72
  4. Step 4: Simplify right side
    13,857.97x = 72,124,965.55
  5. Step 5: Solve for x
    x = 72,124,965.55/13,857.97
  6. Step 6: Final answer
    x = 5,204.58

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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.