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Finding the Fourth Proportional to 6,293.69, 8,684.62 and 3,640.60

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Solution

The fourth proportional to 6,293.69, 8,684.62 and 3,640.60 is: 5,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.69 : 8,684.62 = 3,640.60 : x
  2. Step 2: Convert to fraction form
    6,293.69/8,684.62 = 3,640.60/x
  3. Step 3: Cross multiply
    6,293.69x = 8,684.62 × 3,640.60
  4. Step 4: Simplify right side
    6,293.69x = 31,617,229.33
  5. Step 5: Solve for x
    x = 31,617,229.33/6,293.69
  6. Step 6: Final answer
    x = 5,023.64

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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.