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Finding the Fourth Proportional to 38,644.56, 57,963.20 and 12,344.67

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Solution

The fourth proportional to 38,644.56, 57,963.20 and 12,344.67 is: 18,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.56 : 57,963.20 = 12,344.67 : x
  2. Step 2: Convert to fraction form
    38,644.56/57,963.20 = 12,344.67/x
  3. Step 3: Cross multiply
    38,644.56x = 57,963.20 × 12,344.67
  4. Step 4: Simplify right side
    38,644.56x = 715,536,514.42
  5. Step 5: Solve for x
    x = 715,536,514.42/38,644.56
  6. Step 6: Final answer
    x = 18,515.84

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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.