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Finding the Fourth Proportional to 34.64, 47.81 and 22.37

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Solution

The fourth proportional to 34.64, 47.81 and 22.37 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.64 : 47.81 = 22.37 : x
  2. Step 2: Convert to fraction form
    34.64/47.81 = 22.37/x
  3. Step 3: Cross multiply
    34.64x = 47.81 × 22.37
  4. Step 4: Simplify right side
    34.64x = 1,069.51
  5. Step 5: Solve for x
    x = 1,069.51/34.64
  6. Step 6: Final answer
    x = 30.87

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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.