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Finding the Fourth Proportional to 3,401.76, 4,694.11 and 1,909.39

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Solution

The fourth proportional to 3,401.76, 4,694.11 and 1,909.39 is: 2,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.76 : 4,694.11 = 1,909.39 : x
  2. Step 2: Convert to fraction form
    3,401.76/4,694.11 = 1,909.39/x
  3. Step 3: Cross multiply
    3,401.76x = 4,694.11 × 1,909.39
  4. Step 4: Simplify right side
    3,401.76x = 8,962,882.64
  5. Step 5: Solve for x
    x = 8,962,882.64/3,401.76
  6. Step 6: Final answer
    x = 2,634.78

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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.