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Finding the Fourth Proportional to 3,504.78, 5,255.37 and 2,046.78

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Solution

The fourth proportional to 3,504.78, 5,255.37 and 2,046.78 is: 3,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.78 : 5,255.37 = 2,046.78 : x
  2. Step 2: Convert to fraction form
    3,504.78/5,255.37 = 2,046.78/x
  3. Step 3: Cross multiply
    3,504.78x = 5,255.37 × 2,046.78
  4. Step 4: Simplify right side
    3,504.78x = 10,756,586.21
  5. Step 5: Solve for x
    x = 10,756,586.21/3,504.78
  6. Step 6: Final answer
    x = 3,069.12

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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.