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Finding the Fourth Proportional to 18,388.64, 27,576.16 and 7,859.80

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Solution

The fourth proportional to 18,388.64, 27,576.16 and 7,859.80 is: 11,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,388.64 : 27,576.16 = 7,859.80 : x
  2. Step 2: Convert to fraction form
    18,388.64/27,576.16 = 7,859.80/x
  3. Step 3: Cross multiply
    18,388.64x = 27,576.16 × 7,859.80
  4. Step 4: Simplify right side
    18,388.64x = 216,743,013.78
  5. Step 5: Solve for x
    x = 216,743,013.78/18,388.64
  6. Step 6: Final answer
    x = 11,786.79

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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.