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Finding the Fourth Proportional to 3,280.36, 4,919.42 and 939.74

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Solution

The fourth proportional to 3,280.36, 4,919.42 and 939.74 is: 1,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.36 : 4,919.42 = 939.74 : x
  2. Step 2: Convert to fraction form
    3,280.36/4,919.42 = 939.74/x
  3. Step 3: Cross multiply
    3,280.36x = 4,919.42 × 939.74
  4. Step 4: Simplify right side
    3,280.36x = 4,622,975.75
  5. Step 5: Solve for x
    x = 4,622,975.75/3,280.36
  6. Step 6: Final answer
    x = 1,409.29

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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.