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Finding the Fourth Proportional to 37.83, 52.02 and 31.22

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Solution

The fourth proportional to 37.83, 52.02 and 31.22 is: 42.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.83 : 52.02 = 31.22 : x
  2. Step 2: Convert to fraction form
    37.83/52.02 = 31.22/x
  3. Step 3: Cross multiply
    37.83x = 52.02 × 31.22
  4. Step 4: Simplify right side
    37.83x = 1,623.80
  5. Step 5: Solve for x
    x = 1,623.80/37.83
  6. Step 6: Final answer
    x = 42.92

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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.