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Finding the Fourth Proportional to 2,776.67, 4,165.41 and 828.62

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Solution

The fourth proportional to 2,776.67, 4,165.41 and 828.62 is: 1,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.67 : 4,165.41 = 828.62 : x
  2. Step 2: Convert to fraction form
    2,776.67/4,165.41 = 828.62/x
  3. Step 3: Cross multiply
    2,776.67x = 4,165.41 × 828.62
  4. Step 4: Simplify right side
    2,776.67x = 3,451,542.03
  5. Step 5: Solve for x
    x = 3,451,542.03/2,776.67
  6. Step 6: Final answer
    x = 1,243.05

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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.