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Finding the Fourth Proportional to 14,232, 21,348 and 3,843.75

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Solution

The fourth proportional to 14,232, 21,348 and 3,843.75 is: 5,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 21,348 = 3,843.75 : x
  2. Step 2: Convert to fraction form
    14,232/21,348 = 3,843.75/x
  3. Step 3: Cross multiply
    14,232x = 21,348 × 3,843.75
  4. Step 4: Simplify right side
    14,232x = 82,056,375
  5. Step 5: Solve for x
    x = 82,056,375/14,232
  6. Step 6: Final answer
    x = 5,765.63

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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.