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Finding the Fourth Proportional to 7,161.62, 9,882.91 and 3,974.91

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Solution

The fourth proportional to 7,161.62, 9,882.91 and 3,974.91 is: 5,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.62 : 9,882.91 = 3,974.91 : x
  2. Step 2: Convert to fraction form
    7,161.62/9,882.91 = 3,974.91/x
  3. Step 3: Cross multiply
    7,161.62x = 9,882.91 × 3,974.91
  4. Step 4: Simplify right side
    7,161.62x = 39,283,645.70
  5. Step 5: Solve for x
    x = 39,283,645.70/7,161.62
  6. Step 6: Final answer
    x = 5,485.31

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1.5x scale

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.