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Finding the Fourth Proportional to 23.42, 32.31 and 13.71

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Solution

The fourth proportional to 23.42, 32.31 and 13.71 is: 18.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.42 : 32.31 = 13.71 : x
  2. Step 2: Convert to fraction form
    23.42/32.31 = 13.71/x
  3. Step 3: Cross multiply
    23.42x = 32.31 × 13.71
  4. Step 4: Simplify right side
    23.42x = 442.97
  5. Step 5: Solve for x
    x = 442.97/23.42
  6. Step 6: Final answer
    x = 18.92

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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.