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Finding the Fourth Proportional to 2,315.92, 3,196 and 1,268.08

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Solution

The fourth proportional to 2,315.92, 3,196 and 1,268.08 is: 1,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.92 : 3,196 = 1,268.08 : x
  2. Step 2: Convert to fraction form
    2,315.92/3,196 = 1,268.08/x
  3. Step 3: Cross multiply
    2,315.92x = 3,196 × 1,268.08
  4. Step 4: Simplify right side
    2,315.92x = 4,052,783.68
  5. Step 5: Solve for x
    x = 4,052,783.68/2,315.92
  6. Step 6: Final answer
    x = 1,749.97

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