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Finding the Fourth Proportional to 38,005, 52,446.90 and 21,238

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Solution

The fourth proportional to 38,005, 52,446.90 and 21,238 is: 29,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005 : 52,446.90 = 21,238 : x
  2. Step 2: Convert to fraction form
    38,005/52,446.90 = 21,238/x
  3. Step 3: Cross multiply
    38,005x = 52,446.90 × 21,238
  4. Step 4: Simplify right side
    38,005x = 1,113,867,262.20
  5. Step 5: Solve for x
    x = 1,113,867,262.20/38,005
  6. Step 6: Final answer
    x = 29,308.44

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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.