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Finding the Fourth Proportional to 38,402, 52,997.48 and 21,635

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Solution

The fourth proportional to 38,402, 52,997.48 and 21,635 is: 29,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 52,997.48 = 21,635 : x
  2. Step 2: Convert to fraction form
    38,402/52,997.48 = 21,635/x
  3. Step 3: Cross multiply
    38,402x = 52,997.48 × 21,635
  4. Step 4: Simplify right side
    38,402x = 1,146,600,479.80
  5. Step 5: Solve for x
    x = 1,146,600,479.80/38,402
  6. Step 6: Final answer
    x = 29,857.83

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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.