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Finding the Fourth Proportional to 3,401.78, 4,694.31 and 1,985.54

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Solution

The fourth proportional to 3,401.78, 4,694.31 and 1,985.54 is: 2,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.78 : 4,694.31 = 1,985.54 : x
  2. Step 2: Convert to fraction form
    3,401.78/4,694.31 = 1,985.54/x
  3. Step 3: Cross multiply
    3,401.78x = 4,694.31 × 1,985.54
  4. Step 4: Simplify right side
    3,401.78x = 9,320,716.81
  5. Step 5: Solve for x
    x = 9,320,716.81/3,401.78
  6. Step 6: Final answer
    x = 2,739.96

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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.