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Finding the Fourth Proportional to 37.66, 51.62 and 36.97

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Solution

The fourth proportional to 37.66, 51.62 and 36.97 is: 50.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 51.62 = 36.97 : x
  2. Step 2: Convert to fraction form
    37.66/51.62 = 36.97/x
  3. Step 3: Cross multiply
    37.66x = 51.62 × 36.97
  4. Step 4: Simplify right side
    37.66x = 1,908.35
  5. Step 5: Solve for x
    x = 1,908.35/37.66
  6. Step 6: Final answer
    x = 50.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.