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Finding the Fourth Proportional to 38,692.80, 57,993.84 and 17,872.56

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Solution

The fourth proportional to 38,692.80, 57,993.84 and 17,872.56 is: 26,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.80 : 57,993.84 = 17,872.56 : x
  2. Step 2: Convert to fraction form
    38,692.80/57,993.84 = 17,872.56/x
  3. Step 3: Cross multiply
    38,692.80x = 57,993.84 × 17,872.56
  4. Step 4: Simplify right side
    38,692.80x = 1,036,498,385.03
  5. Step 5: Solve for x
    x = 1,036,498,385.03/38,692.80
  6. Step 6: Final answer
    x = 26,787.89

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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.