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Finding the Fourth Proportional to 38,686.88, 57,952.56 and 20,180

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Solution

The fourth proportional to 38,686.88, 57,952.56 and 20,180 is: 30,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.88 : 57,952.56 = 20,180 : x
  2. Step 2: Convert to fraction form
    38,686.88/57,952.56 = 20,180/x
  3. Step 3: Cross multiply
    38,686.88x = 57,952.56 × 20,180
  4. Step 4: Simplify right side
    38,686.88x = 1,169,482,660.80
  5. Step 5: Solve for x
    x = 1,169,482,660.80/38,686.88
  6. Step 6: Final answer
    x = 30,229.44

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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.