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Finding the Fourth Proportional to 12,375, 18,565.42 and 4,167

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Solution

The fourth proportional to 12,375, 18,565.42 and 4,167 is: 6,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 18,565.42 = 4,167 : x
  2. Step 2: Convert to fraction form
    12,375/18,565.42 = 4,167/x
  3. Step 3: Cross multiply
    12,375x = 18,565.42 × 4,167
  4. Step 4: Simplify right side
    12,375x = 77,362,105.14
  5. Step 5: Solve for x
    x = 77,362,105.14/12,375
  6. Step 6: Final answer
    x = 6,251.48

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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.