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Finding the Fourth Proportional to 2,439.68, 3,659.52 and 796.38

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Solution

The fourth proportional to 2,439.68, 3,659.52 and 796.38 is: 1,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.68 : 3,659.52 = 796.38 : x
  2. Step 2: Convert to fraction form
    2,439.68/3,659.52 = 796.38/x
  3. Step 3: Cross multiply
    2,439.68x = 3,659.52 × 796.38
  4. Step 4: Simplify right side
    2,439.68x = 2,914,368.54
  5. Step 5: Solve for x
    x = 2,914,368.54/2,439.68
  6. Step 6: Final answer
    x = 1,194.57

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1.5x scale

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.