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Finding the Fourth Proportional to 21,857.28, 30,161.40 and 12,424

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Solution

The fourth proportional to 21,857.28, 30,161.40 and 12,424 is: 17,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.28 : 30,161.40 = 12,424 : x
  2. Step 2: Convert to fraction form
    21,857.28/30,161.40 = 12,424/x
  3. Step 3: Cross multiply
    21,857.28x = 30,161.40 × 12,424
  4. Step 4: Simplify right side
    21,857.28x = 374,725,233.60
  5. Step 5: Solve for x
    x = 374,725,233.60/21,857.28
  6. Step 6: Final answer
    x = 17,144.18

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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.