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Finding the Fourth Proportional to 36.12, 50.09 and 34.86

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Solution

The fourth proportional to 36.12, 50.09 and 34.86 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.12 : 50.09 = 34.86 : x
  2. Step 2: Convert to fraction form
    36.12/50.09 = 34.86/x
  3. Step 3: Cross multiply
    36.12x = 50.09 × 34.86
  4. Step 4: Simplify right side
    36.12x = 1,746.14
  5. Step 5: Solve for x
    x = 1,746.14/36.12
  6. Step 6: Final answer
    x = 48.34

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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.