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Finding the Fourth Proportional to 38,530, 57,795 and 10,828

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Solution

The fourth proportional to 38,530, 57,795 and 10,828 is: 16,242

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530 : 57,795 = 10,828 : x
  2. Step 2: Convert to fraction form
    38,530/57,795 = 10,828/x
  3. Step 3: Cross multiply
    38,530x = 57,795 × 10,828
  4. Step 4: Simplify right side
    38,530x = 625,804,260
  5. Step 5: Solve for x
    x = 625,804,260/38,530
  6. Step 6: Final answer
    x = 16,242

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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.