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Finding the Fourth Proportional to 38,401.50, 52,994.07 and 21,634.50

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Solution

The fourth proportional to 38,401.50, 52,994.07 and 21,634.50 is: 29,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401.50 : 52,994.07 = 21,634.50 : x
  2. Step 2: Convert to fraction form
    38,401.50/52,994.07 = 21,634.50/x
  3. Step 3: Cross multiply
    38,401.50x = 52,994.07 × 21,634.50
  4. Step 4: Simplify right side
    38,401.50x = 1,146,500,207.42
  5. Step 5: Solve for x
    x = 1,146,500,207.42/38,401.50
  6. Step 6: Final answer
    x = 29,855.61

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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.