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Finding the Fourth Proportional to 3,940.65, 5,435.37 and 3,194.64

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Solution

The fourth proportional to 3,940.65, 5,435.37 and 3,194.64 is: 4,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.65 : 5,435.37 = 3,194.64 : x
  2. Step 2: Convert to fraction form
    3,940.65/5,435.37 = 3,194.64/x
  3. Step 3: Cross multiply
    3,940.65x = 5,435.37 × 3,194.64
  4. Step 4: Simplify right side
    3,940.65x = 17,364,050.42
  5. Step 5: Solve for x
    x = 17,364,050.42/3,940.65
  6. Step 6: Final answer
    x = 4,406.39

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1.5x scale

Why These Related Problems?

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