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Finding the Fourth Proportional to 32.12, 48.22 and 20.74

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Solution

The fourth proportional to 32.12, 48.22 and 20.74 is: 31.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.12 : 48.22 = 20.74 : x
  2. Step 2: Convert to fraction form
    32.12/48.22 = 20.74/x
  3. Step 3: Cross multiply
    32.12x = 48.22 × 20.74
  4. Step 4: Simplify right side
    32.12x = 1,000.08
  5. Step 5: Solve for x
    x = 1,000.08/32.12
  6. Step 6: Final answer
    x = 31.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.