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Finding the Fourth Proportional to 37.72, 52.05 and 20.47

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Solution

The fourth proportional to 37.72, 52.05 and 20.47 is: 28.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 52.05 = 20.47 : x
  2. Step 2: Convert to fraction form
    37.72/52.05 = 20.47/x
  3. Step 3: Cross multiply
    37.72x = 52.05 × 20.47
  4. Step 4: Simplify right side
    37.72x = 1,065.45
  5. Step 5: Solve for x
    x = 1,065.45/37.72
  6. Step 6: Final answer
    x = 28.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.