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Finding the Fourth Proportional to 2,565.29, 3,850.10 and 1,268.21

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Solution

The fourth proportional to 2,565.29, 3,850.10 and 1,268.21 is: 1,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.29 : 3,850.10 = 1,268.21 : x
  2. Step 2: Convert to fraction form
    2,565.29/3,850.10 = 1,268.21/x
  3. Step 3: Cross multiply
    2,565.29x = 3,850.10 × 1,268.21
  4. Step 4: Simplify right side
    2,565.29x = 4,882,735.32
  5. Step 5: Solve for x
    x = 4,882,735.32/2,565.29
  6. Step 6: Final answer
    x = 1,903.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.