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Finding the Fourth Proportional to 34.73, 47.81 and 30.13

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Solution

The fourth proportional to 34.73, 47.81 and 30.13 is: 41.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.73 : 47.81 = 30.13 : x
  2. Step 2: Convert to fraction form
    34.73/47.81 = 30.13/x
  3. Step 3: Cross multiply
    34.73x = 47.81 × 30.13
  4. Step 4: Simplify right side
    34.73x = 1,440.36
  5. Step 5: Solve for x
    x = 1,440.36/34.73
  6. Step 6: Final answer
    x = 41.47

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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.