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Finding the Fourth Proportional to 37.89, 52.29 and 20.64

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Solution

The fourth proportional to 37.89, 52.29 and 20.64 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.89 : 52.29 = 20.64 : x
  2. Step 2: Convert to fraction form
    37.89/52.29 = 20.64/x
  3. Step 3: Cross multiply
    37.89x = 52.29 × 20.64
  4. Step 4: Simplify right side
    37.89x = 1,079.31
  5. Step 5: Solve for x
    x = 1,079.31/37.89
  6. Step 6: Final answer
    x = 28.48

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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.