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Finding the Fourth Proportional to 34.24, 47.27 and 23.91

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Solution

The fourth proportional to 34.24, 47.27 and 23.91 is: 33.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.24 : 47.27 = 23.91 : x
  2. Step 2: Convert to fraction form
    34.24/47.27 = 23.91/x
  3. Step 3: Cross multiply
    34.24x = 47.27 × 23.91
  4. Step 4: Simplify right side
    34.24x = 1,130.23
  5. Step 5: Solve for x
    x = 1,130.23/34.24
  6. Step 6: Final answer
    x = 33.01

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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.