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Finding the Fourth Proportional to 3,270.74, 4,906.58 and 1,078.74

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Solution

The fourth proportional to 3,270.74, 4,906.58 and 1,078.74 is: 1,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.74 : 4,906.58 = 1,078.74 : x
  2. Step 2: Convert to fraction form
    3,270.74/4,906.58 = 1,078.74/x
  3. Step 3: Cross multiply
    3,270.74x = 4,906.58 × 1,078.74
  4. Step 4: Simplify right side
    3,270.74x = 5,292,918.72
  5. Step 5: Solve for x
    x = 5,292,918.72/3,270.74
  6. Step 6: Final answer
    x = 1,618.27

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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.