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Finding the Fourth Proportional to 32.14, 47.96 and 28.27

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Solution

The fourth proportional to 32.14, 47.96 and 28.27 is: 42.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.14 : 47.96 = 28.27 : x
  2. Step 2: Convert to fraction form
    32.14/47.96 = 28.27/x
  3. Step 3: Cross multiply
    32.14x = 47.96 × 28.27
  4. Step 4: Simplify right side
    32.14x = 1,355.83
  5. Step 5: Solve for x
    x = 1,355.83/32.14
  6. Step 6: Final answer
    x = 42.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.