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Finding the Fourth Proportional to 3,401, 5,101.26 and 1,669

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Solution

The fourth proportional to 3,401, 5,101.26 and 1,669 is: 2,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401 : 5,101.26 = 1,669 : x
  2. Step 2: Convert to fraction form
    3,401/5,101.26 = 1,669/x
  3. Step 3: Cross multiply
    3,401x = 5,101.26 × 1,669
  4. Step 4: Simplify right side
    3,401x = 8,514,002.94
  5. Step 5: Solve for x
    x = 8,514,002.94/3,401
  6. Step 6: Final answer
    x = 2,503.38

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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.