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Finding the Fourth Proportional to 36,759.36, 55,129.32 and 15,978

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Solution

The fourth proportional to 36,759.36, 55,129.32 and 15,978 is: 23,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,759.36 : 55,129.32 = 15,978 : x
  2. Step 2: Convert to fraction form
    36,759.36/55,129.32 = 15,978/x
  3. Step 3: Cross multiply
    36,759.36x = 55,129.32 × 15,978
  4. Step 4: Simplify right side
    36,759.36x = 880,856,274.96
  5. Step 5: Solve for x
    x = 880,856,274.96/36,759.36
  6. Step 6: Final answer
    x = 23,962.78

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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.