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Finding the Fourth Proportional to 47.45, 71.11 and 24.60

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Solution

The fourth proportional to 47.45, 71.11 and 24.60 is: 36.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.45 : 71.11 = 24.60 : x
  2. Step 2: Convert to fraction form
    47.45/71.11 = 24.60/x
  3. Step 3: Cross multiply
    47.45x = 71.11 × 24.60
  4. Step 4: Simplify right side
    47.45x = 1,749.31
  5. Step 5: Solve for x
    x = 1,749.31/47.45
  6. Step 6: Final answer
    x = 36.87

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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.