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Finding the Fourth Proportional to 20,141.97, 27,786.97 and 13,421.04

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Solution

The fourth proportional to 20,141.97, 27,786.97 and 13,421.04 is: 18,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.97 : 27,786.97 = 13,421.04 : x
  2. Step 2: Convert to fraction form
    20,141.97/27,786.97 = 13,421.04/x
  3. Step 3: Cross multiply
    20,141.97x = 27,786.97 × 13,421.04
  4. Step 4: Simplify right side
    20,141.97x = 372,930,142.47
  5. Step 5: Solve for x
    x = 372,930,142.47/20,141.97
  6. Step 6: Final answer
    x = 18,515.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.