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Finding the Fourth Proportional to 63.84, 95.71 and 31.80

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Solution

The fourth proportional to 63.84, 95.71 and 31.80 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.84 : 95.71 = 31.80 : x
  2. Step 2: Convert to fraction form
    63.84/95.71 = 31.80/x
  3. Step 3: Cross multiply
    63.84x = 95.71 × 31.80
  4. Step 4: Simplify right side
    63.84x = 3,042.94
  5. Step 5: Solve for x
    x = 3,042.94/63.84
  6. Step 6: Final answer
    x = 47.67

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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.