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Finding the Fourth Proportional to 31.72, 43.78 and 23.54

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Solution

The fourth proportional to 31.72, 43.78 and 23.54 is: 32.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.72 : 43.78 = 23.54 : x
  2. Step 2: Convert to fraction form
    31.72/43.78 = 23.54/x
  3. Step 3: Cross multiply
    31.72x = 43.78 × 23.54
  4. Step 4: Simplify right side
    31.72x = 1,030.58
  5. Step 5: Solve for x
    x = 1,030.58/31.72
  6. Step 6: Final answer
    x = 32.49

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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.