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Finding the Fourth Proportional to 37.73, 52.15 and 31.17

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Solution

The fourth proportional to 37.73, 52.15 and 31.17 is: 43.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.73 : 52.15 = 31.17 : x
  2. Step 2: Convert to fraction form
    37.73/52.15 = 31.17/x
  3. Step 3: Cross multiply
    37.73x = 52.15 × 31.17
  4. Step 4: Simplify right side
    37.73x = 1,625.10
  5. Step 5: Solve for x
    x = 1,625.10/37.73
  6. Step 6: Final answer
    x = 43.07

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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.