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Finding the Fourth Proportional to 36.89, 51.16 and 35.77

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Solution

The fourth proportional to 36.89, 51.16 and 35.77 is: 49.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.89 : 51.16 = 35.77 : x
  2. Step 2: Convert to fraction form
    36.89/51.16 = 35.77/x
  3. Step 3: Cross multiply
    36.89x = 51.16 × 35.77
  4. Step 4: Simplify right side
    36.89x = 1,829.56
  5. Step 5: Solve for x
    x = 1,829.56/36.89
  6. Step 6: Final answer
    x = 49.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.