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Finding the Fourth Proportional to 38,267, 52,813.32 and 21,500

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Solution

The fourth proportional to 38,267, 52,813.32 and 21,500 is: 29,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,267 : 52,813.32 = 21,500 : x
  2. Step 2: Convert to fraction form
    38,267/52,813.32 = 21,500/x
  3. Step 3: Cross multiply
    38,267x = 52,813.32 × 21,500
  4. Step 4: Simplify right side
    38,267x = 1,135,486,380
  5. Step 5: Solve for x
    x = 1,135,486,380/38,267
  6. Step 6: Final answer
    x = 29,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.