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Finding the Fourth Proportional to 2,758.80, 4,137.96 and 811.14

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Solution

The fourth proportional to 2,758.80, 4,137.96 and 811.14 is: 1,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.80 : 4,137.96 = 811.14 : x
  2. Step 2: Convert to fraction form
    2,758.80/4,137.96 = 811.14/x
  3. Step 3: Cross multiply
    2,758.80x = 4,137.96 × 811.14
  4. Step 4: Simplify right side
    2,758.80x = 3,356,464.87
  5. Step 5: Solve for x
    x = 3,356,464.87/2,758.80
  6. Step 6: Final answer
    x = 1,216.64

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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.