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Finding the Fourth Proportional to 32.08, 47.74 and 31.90

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Solution

The fourth proportional to 32.08, 47.74 and 31.90 is: 47.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.08 : 47.74 = 31.90 : x
  2. Step 2: Convert to fraction form
    32.08/47.74 = 31.90/x
  3. Step 3: Cross multiply
    32.08x = 47.74 × 31.90
  4. Step 4: Simplify right side
    32.08x = 1,522.91
  5. Step 5: Solve for x
    x = 1,522.91/32.08
  6. Step 6: Final answer
    x = 47.47

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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.