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Finding the Fourth Proportional to 24.74, 34.12 and 19.31

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Solution

The fourth proportional to 24.74, 34.12 and 19.31 is: 26.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.74 : 34.12 = 19.31 : x
  2. Step 2: Convert to fraction form
    24.74/34.12 = 19.31/x
  3. Step 3: Cross multiply
    24.74x = 34.12 × 19.31
  4. Step 4: Simplify right side
    24.74x = 658.71
  5. Step 5: Solve for x
    x = 658.71/24.74
  6. Step 6: Final answer
    x = 26.63

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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.