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Finding the Fourth Proportional to 47.45, 65.42 and 30.83

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Solution

The fourth proportional to 47.45, 65.42 and 30.83 is: 42.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.45 : 65.42 = 30.83 : x
  2. Step 2: Convert to fraction form
    47.45/65.42 = 30.83/x
  3. Step 3: Cross multiply
    47.45x = 65.42 × 30.83
  4. Step 4: Simplify right side
    47.45x = 2,016.57
  5. Step 5: Solve for x
    x = 2,016.57/47.45
  6. Step 6: Final answer
    x = 42.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.