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Finding the Fourth Proportional to 38.62, 52.57 and 38.35

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Solution

The fourth proportional to 38.62, 52.57 and 38.35 is: 52.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 52.57 = 38.35 : x
  2. Step 2: Convert to fraction form
    38.62/52.57 = 38.35/x
  3. Step 3: Cross multiply
    38.62x = 52.57 × 38.35
  4. Step 4: Simplify right side
    38.62x = 2,016.06
  5. Step 5: Solve for x
    x = 2,016.06/38.62
  6. Step 6: Final answer
    x = 52.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.