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Finding the Fourth Proportional to 38,400, 52,992 and 21,633

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Solution

The fourth proportional to 38,400, 52,992 and 21,633 is: 29,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 52,992 = 21,633 : x
  2. Step 2: Convert to fraction form
    38,400/52,992 = 21,633/x
  3. Step 3: Cross multiply
    38,400x = 52,992 × 21,633
  4. Step 4: Simplify right side
    38,400x = 1,146,375,936
  5. Step 5: Solve for x
    x = 1,146,375,936/38,400
  6. Step 6: Final answer
    x = 29,853.54

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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.