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Finding the Fourth Proportional to 11,906.78, 17,856.45 and 8,232.62

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Solution

The fourth proportional to 11,906.78, 17,856.45 and 8,232.62 is: 12,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.78 : 17,856.45 = 8,232.62 : x
  2. Step 2: Convert to fraction form
    11,906.78/17,856.45 = 8,232.62/x
  3. Step 3: Cross multiply
    11,906.78x = 17,856.45 × 8,232.62
  4. Step 4: Simplify right side
    11,906.78x = 147,005,278.12
  5. Step 5: Solve for x
    x = 147,005,278.12/11,906.78
  6. Step 6: Final answer
    x = 12,346.36

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1.5x scale

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.