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Finding the Fourth Proportional to 34.66, 47.72 and 31.18

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Solution

The fourth proportional to 34.66, 47.72 and 31.18 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.66 : 47.72 = 31.18 : x
  2. Step 2: Convert to fraction form
    34.66/47.72 = 31.18/x
  3. Step 3: Cross multiply
    34.66x = 47.72 × 31.18
  4. Step 4: Simplify right side
    34.66x = 1,487.91
  5. Step 5: Solve for x
    x = 1,487.91/34.66
  6. Step 6: Final answer
    x = 42.93

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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.