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Finding the Fourth Proportional to 1,268.92, 1,894.18 and 1,096.68

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Solution

The fourth proportional to 1,268.92, 1,894.18 and 1,096.68 is: 1,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.92 : 1,894.18 = 1,096.68 : x
  2. Step 2: Convert to fraction form
    1,268.92/1,894.18 = 1,096.68/x
  3. Step 3: Cross multiply
    1,268.92x = 1,894.18 × 1,096.68
  4. Step 4: Simplify right side
    1,268.92x = 2,077,309.32
  5. Step 5: Solve for x
    x = 2,077,309.32/1,268.92
  6. Step 6: Final answer
    x = 1,637.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.