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Finding the Fourth Proportional to 3,712.62, 5,571.09 and 1,404.30

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Solution

The fourth proportional to 3,712.62, 5,571.09 and 1,404.30 is: 2,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.62 : 5,571.09 = 1,404.30 : x
  2. Step 2: Convert to fraction form
    3,712.62/5,571.09 = 1,404.30/x
  3. Step 3: Cross multiply
    3,712.62x = 5,571.09 × 1,404.30
  4. Step 4: Simplify right side
    3,712.62x = 7,823,481.69
  5. Step 5: Solve for x
    x = 7,823,481.69/3,712.62
  6. Step 6: Final answer
    x = 2,107.27

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1.5x scale

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.