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Finding the Fourth Proportional to 38,513.80, 57,786.90 and 20,996.20

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Solution

The fourth proportional to 38,513.80, 57,786.90 and 20,996.20 is: 31,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.80 : 57,786.90 = 20,996.20 : x
  2. Step 2: Convert to fraction form
    38,513.80/57,786.90 = 20,996.20/x
  3. Step 3: Cross multiply
    38,513.80x = 57,786.90 × 20,996.20
  4. Step 4: Simplify right side
    38,513.80x = 1,213,305,309.78
  5. Step 5: Solve for x
    x = 1,213,305,309.78/38,513.80
  6. Step 6: Final answer
    x = 31,503.13

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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.