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Finding the Fourth Proportional to 11,918.32, 17,873.22 and 4,524.78

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Solution

The fourth proportional to 11,918.32, 17,873.22 and 4,524.78 is: 6,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.32 : 17,873.22 = 4,524.78 : x
  2. Step 2: Convert to fraction form
    11,918.32/17,873.22 = 4,524.78/x
  3. Step 3: Cross multiply
    11,918.32x = 17,873.22 × 4,524.78
  4. Step 4: Simplify right side
    11,918.32x = 80,872,388.39
  5. Step 5: Solve for x
    x = 80,872,388.39/11,918.32
  6. Step 6: Final answer
    x = 6,785.55

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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.