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Finding the Fourth Proportional to 4,922, 7,383 and 1,274

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Solution

The fourth proportional to 4,922, 7,383 and 1,274 is: 1,911

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922 : 7,383 = 1,274 : x
  2. Step 2: Convert to fraction form
    4,922/7,383 = 1,274/x
  3. Step 3: Cross multiply
    4,922x = 7,383 × 1,274
  4. Step 4: Simplify right side
    4,922x = 9,405,942
  5. Step 5: Solve for x
    x = 9,405,942/4,922
  6. Step 6: Final answer
    x = 1,911

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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.