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Finding the Fourth Proportional to 3,078.44, 4,617.08 and 827

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Solution

The fourth proportional to 3,078.44, 4,617.08 and 827 is: 1,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.44 : 4,617.08 = 827 : x
  2. Step 2: Convert to fraction form
    3,078.44/4,617.08 = 827/x
  3. Step 3: Cross multiply
    3,078.44x = 4,617.08 × 827
  4. Step 4: Simplify right side
    3,078.44x = 3,818,325.16
  5. Step 5: Solve for x
    x = 3,818,325.16/3,078.44
  6. Step 6: Final answer
    x = 1,240.34

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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.