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Finding the Fourth Proportional to 7,378, 11,067.48 and 3,274

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Solution

The fourth proportional to 7,378, 11,067.48 and 3,274 is: 4,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378 : 11,067.48 = 3,274 : x
  2. Step 2: Convert to fraction form
    7,378/11,067.48 = 3,274/x
  3. Step 3: Cross multiply
    7,378x = 11,067.48 × 3,274
  4. Step 4: Simplify right side
    7,378x = 36,234,929.52
  5. Step 5: Solve for x
    x = 36,234,929.52/7,378
  6. Step 6: Final answer
    x = 4,911.21

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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.