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Finding the Fourth Proportional to 14,234, 21,351 and 3,845.75

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Solution

The fourth proportional to 14,234, 21,351 and 3,845.75 is: 5,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234 : 21,351 = 3,845.75 : x
  2. Step 2: Convert to fraction form
    14,234/21,351 = 3,845.75/x
  3. Step 3: Cross multiply
    14,234x = 21,351 × 3,845.75
  4. Step 4: Simplify right side
    14,234x = 82,110,608.25
  5. Step 5: Solve for x
    x = 82,110,608.25/14,234
  6. Step 6: Final answer
    x = 5,768.63

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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.