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Finding the Fourth Proportional to 2,776.60, 4,165.44 and 828.64

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Solution

The fourth proportional to 2,776.60, 4,165.44 and 828.64 is: 1,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.60 : 4,165.44 = 828.64 : x
  2. Step 2: Convert to fraction form
    2,776.60/4,165.44 = 828.64/x
  3. Step 3: Cross multiply
    2,776.60x = 4,165.44 × 828.64
  4. Step 4: Simplify right side
    2,776.60x = 3,451,650.20
  5. Step 5: Solve for x
    x = 3,451,650.20/2,776.60
  6. Step 6: Final answer
    x = 1,243.12

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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.