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Finding the Fourth Proportional to 38,399, 52,993.34 and 21,632

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Solution

The fourth proportional to 38,399, 52,993.34 and 21,632 is: 29,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,399 : 52,993.34 = 21,632 : x
  2. Step 2: Convert to fraction form
    38,399/52,993.34 = 21,632/x
  3. Step 3: Cross multiply
    38,399x = 52,993.34 × 21,632
  4. Step 4: Simplify right side
    38,399x = 1,146,351,930.88
  5. Step 5: Solve for x
    x = 1,146,351,930.88/38,399
  6. Step 6: Final answer
    x = 29,853.69

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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.