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Finding the Fourth Proportional to 6,329.81, 8,734.41 and 3,940.16

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Solution

The fourth proportional to 6,329.81, 8,734.41 and 3,940.16 is: 5,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.81 : 8,734.41 = 3,940.16 : x
  2. Step 2: Convert to fraction form
    6,329.81/8,734.41 = 3,940.16/x
  3. Step 3: Cross multiply
    6,329.81x = 8,734.41 × 3,940.16
  4. Step 4: Simplify right side
    6,329.81x = 34,414,929.23
  5. Step 5: Solve for x
    x = 34,414,929.23/6,329.81
  6. Step 6: Final answer
    x = 5,436.96

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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.