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Finding the Fourth Proportional to 21,224, 31,838.03 and 8,744.87

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Solution

The fourth proportional to 21,224, 31,838.03 and 8,744.87 is: 13,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 31,838.03 = 8,744.87 : x
  2. Step 2: Convert to fraction form
    21,224/31,838.03 = 8,744.87/x
  3. Step 3: Cross multiply
    21,224x = 31,838.03 × 8,744.87
  4. Step 4: Simplify right side
    21,224x = 278,419,433.41
  5. Step 5: Solve for x
    x = 278,419,433.41/21,224
  6. Step 6: Final answer
    x = 13,118.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.