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Finding the Fourth Proportional to 11,894.38, 17,837.92 and 8,220.22

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Solution

The fourth proportional to 11,894.38, 17,837.92 and 8,220.22 is: 12,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.38 : 17,837.92 = 8,220.22 : x
  2. Step 2: Convert to fraction form
    11,894.38/17,837.92 = 8,220.22/x
  3. Step 3: Cross multiply
    11,894.38x = 17,837.92 × 8,220.22
  4. Step 4: Simplify right side
    11,894.38x = 146,631,592.42
  5. Step 5: Solve for x
    x = 146,631,592.42/11,894.38
  6. Step 6: Final answer
    x = 12,327.81

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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.