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Finding the Fourth Proportional to 37.85, 52.20 and 31.70

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Solution

The fourth proportional to 37.85, 52.20 and 31.70 is: 43.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 52.20 = 31.70 : x
  2. Step 2: Convert to fraction form
    37.85/52.20 = 31.70/x
  3. Step 3: Cross multiply
    37.85x = 52.20 × 31.70
  4. Step 4: Simplify right side
    37.85x = 1,654.74
  5. Step 5: Solve for x
    x = 1,654.74/37.85
  6. Step 6: Final answer
    x = 43.72

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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.