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Finding the Fourth Proportional to 36,912.88, 55,330.44 and 18,406

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Solution

The fourth proportional to 36,912.88, 55,330.44 and 18,406 is: 27,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,912.88 : 55,330.44 = 18,406 : x
  2. Step 2: Convert to fraction form
    36,912.88/55,330.44 = 18,406/x
  3. Step 3: Cross multiply
    36,912.88x = 55,330.44 × 18,406
  4. Step 4: Simplify right side
    36,912.88x = 1,018,412,078.64
  5. Step 5: Solve for x
    x = 1,018,412,078.64/36,912.88
  6. Step 6: Final answer
    x = 27,589.61

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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.