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Finding the Fourth Proportional to 47.75, 65.85 and 35.52

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Solution

The fourth proportional to 47.75, 65.85 and 35.52 is: 48.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 65.85 = 35.52 : x
  2. Step 2: Convert to fraction form
    47.75/65.85 = 35.52/x
  3. Step 3: Cross multiply
    47.75x = 65.85 × 35.52
  4. Step 4: Simplify right side
    47.75x = 2,338.99
  5. Step 5: Solve for x
    x = 2,338.99/47.75
  6. Step 6: Final answer
    x = 48.99

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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.