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Finding the Fourth Proportional to 37.82, 52.12 and 31.60

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Solution

The fourth proportional to 37.82, 52.12 and 31.60 is: 43.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.82 : 52.12 = 31.60 : x
  2. Step 2: Convert to fraction form
    37.82/52.12 = 31.60/x
  3. Step 3: Cross multiply
    37.82x = 52.12 × 31.60
  4. Step 4: Simplify right side
    37.82x = 1,646.99
  5. Step 5: Solve for x
    x = 1,646.99/37.82
  6. Step 6: Final answer
    x = 43.55

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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.