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Finding the Fourth Proportional to 38,401, 52,996.10 and 21,634

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Solution

The fourth proportional to 38,401, 52,996.10 and 21,634 is: 29,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401 : 52,996.10 = 21,634 : x
  2. Step 2: Convert to fraction form
    38,401/52,996.10 = 21,634/x
  3. Step 3: Cross multiply
    38,401x = 52,996.10 × 21,634
  4. Step 4: Simplify right side
    38,401x = 1,146,517,627.40
  5. Step 5: Solve for x
    x = 1,146,517,627.40/38,401
  6. Step 6: Final answer
    x = 29,856.45

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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.