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Finding the Fourth Proportional to 20,270.25, 27,965.12 and 12,713.49

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Solution

The fourth proportional to 20,270.25, 27,965.12 and 12,713.49 is: 17,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.25 : 27,965.12 = 12,713.49 : x
  2. Step 2: Convert to fraction form
    20,270.25/27,965.12 = 12,713.49/x
  3. Step 3: Cross multiply
    20,270.25x = 27,965.12 × 12,713.49
  4. Step 4: Simplify right side
    20,270.25x = 355,534,209.90
  5. Step 5: Solve for x
    x = 355,534,209.90/20,270.25
  6. Step 6: Final answer
    x = 17,539.71

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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.