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Finding the Fourth Proportional to 38,644.65, 57,972.42 and 12,343.53

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Solution

The fourth proportional to 38,644.65, 57,972.42 and 12,343.53 is: 18,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.65 : 57,972.42 = 12,343.53 : x
  2. Step 2: Convert to fraction form
    38,644.65/57,972.42 = 12,343.53/x
  3. Step 3: Cross multiply
    38,644.65x = 57,972.42 × 12,343.53
  4. Step 4: Simplify right side
    38,644.65x = 715,584,305.44
  5. Step 5: Solve for x
    x = 715,584,305.44/38,644.65
  6. Step 6: Final answer
    x = 18,517.03

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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.