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Finding the Fourth Proportional to 47.96, 71.94 and 15.90

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Solution

The fourth proportional to 47.96, 71.94 and 15.90 is: 23.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.96 : 71.94 = 15.90 : x
  2. Step 2: Convert to fraction form
    47.96/71.94 = 15.90/x
  3. Step 3: Cross multiply
    47.96x = 71.94 × 15.90
  4. Step 4: Simplify right side
    47.96x = 1,143.85
  5. Step 5: Solve for x
    x = 1,143.85/47.96
  6. Step 6: Final answer
    x = 23.85

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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.