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Finding the Fourth Proportional to 7,274, 10,911 and 1,802

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Solution

The fourth proportional to 7,274, 10,911 and 1,802 is: 2,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274 : 10,911 = 1,802 : x
  2. Step 2: Convert to fraction form
    7,274/10,911 = 1,802/x
  3. Step 3: Cross multiply
    7,274x = 10,911 × 1,802
  4. Step 4: Simplify right side
    7,274x = 19,661,622
  5. Step 5: Solve for x
    x = 19,661,622/7,274
  6. Step 6: Final answer
    x = 2,703

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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.