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Finding the Fourth Proportional to 3,268.87, 4,511.12 and 1,776.87

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Solution

The fourth proportional to 3,268.87, 4,511.12 and 1,776.87 is: 2,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.87 : 4,511.12 = 1,776.87 : x
  2. Step 2: Convert to fraction form
    3,268.87/4,511.12 = 1,776.87/x
  3. Step 3: Cross multiply
    3,268.87x = 4,511.12 × 1,776.87
  4. Step 4: Simplify right side
    3,268.87x = 8,015,673.79
  5. Step 5: Solve for x
    x = 8,015,673.79/3,268.87
  6. Step 6: Final answer
    x = 2,452.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.