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Finding the Fourth Proportional to 3,441.78, 4,749.64 and 1,949.99

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Solution

The fourth proportional to 3,441.78, 4,749.64 and 1,949.99 is: 2,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.78 : 4,749.64 = 1,949.99 : x
  2. Step 2: Convert to fraction form
    3,441.78/4,749.64 = 1,949.99/x
  3. Step 3: Cross multiply
    3,441.78x = 4,749.64 × 1,949.99
  4. Step 4: Simplify right side
    3,441.78x = 9,261,757.50
  5. Step 5: Solve for x
    x = 9,261,757.50/3,441.78
  6. Step 6: Final answer
    x = 2,690.98

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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.