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Finding the Fourth Proportional to 3,401, 5,100.78 and 2,755.40

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Solution

The fourth proportional to 3,401, 5,100.78 and 2,755.40 is: 4,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401 : 5,100.78 = 2,755.40 : x
  2. Step 2: Convert to fraction form
    3,401/5,100.78 = 2,755.40/x
  3. Step 3: Cross multiply
    3,401x = 5,100.78 × 2,755.40
  4. Step 4: Simplify right side
    3,401x = 14,054,689.21
  5. Step 5: Solve for x
    x = 14,054,689.21/3,401
  6. Step 6: Final answer
    x = 4,132.52

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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.