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Finding the Fourth Proportional to 11,922.04, 17,892.11 and 8,164.86

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Solution

The fourth proportional to 11,922.04, 17,892.11 and 8,164.86 is: 12,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.04 : 17,892.11 = 8,164.86 : x
  2. Step 2: Convert to fraction form
    11,922.04/17,892.11 = 8,164.86/x
  3. Step 3: Cross multiply
    11,922.04x = 17,892.11 × 8,164.86
  4. Step 4: Simplify right side
    11,922.04x = 146,086,573.25
  5. Step 5: Solve for x
    x = 146,086,573.25/11,922.04
  6. Step 6: Final answer
    x = 12,253.49

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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.