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Finding the Fourth Proportional to 3,494.78, 4,821.78 and 2,078.42

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Solution

The fourth proportional to 3,494.78, 4,821.78 and 2,078.42 is: 2,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.78 : 4,821.78 = 2,078.42 : x
  2. Step 2: Convert to fraction form
    3,494.78/4,821.78 = 2,078.42/x
  3. Step 3: Cross multiply
    3,494.78x = 4,821.78 × 2,078.42
  4. Step 4: Simplify right side
    3,494.78x = 10,021,683.99
  5. Step 5: Solve for x
    x = 10,021,683.99/3,494.78
  6. Step 6: Final answer
    x = 2,867.62

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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.