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Finding the Fourth Proportional to 31.43, 47.13 and 8.60

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Solution

The fourth proportional to 31.43, 47.13 and 8.60 is: 12.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.43 : 47.13 = 8.60 : x
  2. Step 2: Convert to fraction form
    31.43/47.13 = 8.60/x
  3. Step 3: Cross multiply
    31.43x = 47.13 × 8.60
  4. Step 4: Simplify right side
    31.43x = 405.46
  5. Step 5: Solve for x
    x = 405.46/31.43
  6. Step 6: Final answer
    x = 12.90

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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.