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Finding the Fourth Proportional to 6,199.86, 8,556.81 and 4,785.60

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Solution

The fourth proportional to 6,199.86, 8,556.81 and 4,785.60 is: 6,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.86 : 8,556.81 = 4,785.60 : x
  2. Step 2: Convert to fraction form
    6,199.86/8,556.81 = 4,785.60/x
  3. Step 3: Cross multiply
    6,199.86x = 8,556.81 × 4,785.60
  4. Step 4: Simplify right side
    6,199.86x = 40,949,469.94
  5. Step 5: Solve for x
    x = 40,949,469.94/6,199.86
  6. Step 6: Final answer
    x = 6,604.90

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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.