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Finding the Fourth Proportional to 38,000, 52,440 and 21,233

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Solution

The fourth proportional to 38,000, 52,440 and 21,233 is: 29,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000 : 52,440 = 21,233 : x
  2. Step 2: Convert to fraction form
    38,000/52,440 = 21,233/x
  3. Step 3: Cross multiply
    38,000x = 52,440 × 21,233
  4. Step 4: Simplify right side
    38,000x = 1,113,458,520
  5. Step 5: Solve for x
    x = 1,113,458,520/38,000
  6. Step 6: Final answer
    x = 29,301.54

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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.