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Finding the Fourth Proportional to 6,380.37, 8,811.64 and 5,684.63

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Solution

The fourth proportional to 6,380.37, 8,811.64 and 5,684.63 is: 7,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.37 : 8,811.64 = 5,684.63 : x
  2. Step 2: Convert to fraction form
    6,380.37/8,811.64 = 5,684.63/x
  3. Step 3: Cross multiply
    6,380.37x = 8,811.64 × 5,684.63
  4. Step 4: Simplify right side
    6,380.37x = 50,090,893.73
  5. Step 5: Solve for x
    x = 50,090,893.73/6,380.37
  6. Step 6: Final answer
    x = 7,850.78

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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.