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Finding the Fourth Proportional to 36.61, 54.89 and 13.78

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Solution

The fourth proportional to 36.61, 54.89 and 13.78 is: 20.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.61 : 54.89 = 13.78 : x
  2. Step 2: Convert to fraction form
    36.61/54.89 = 13.78/x
  3. Step 3: Cross multiply
    36.61x = 54.89 × 13.78
  4. Step 4: Simplify right side
    36.61x = 756.04
  5. Step 5: Solve for x
    x = 756.04/36.61
  6. Step 6: Final answer
    x = 20.65

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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.