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Finding the Fourth Proportional to 6,090.85, 8,399.12 and 3,966.49

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Solution

The fourth proportional to 6,090.85, 8,399.12 and 3,966.49 is: 5,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.85 : 8,399.12 = 3,966.49 : x
  2. Step 2: Convert to fraction form
    6,090.85/8,399.12 = 3,966.49/x
  3. Step 3: Cross multiply
    6,090.85x = 8,399.12 × 3,966.49
  4. Step 4: Simplify right side
    6,090.85x = 33,315,025.49
  5. Step 5: Solve for x
    x = 33,315,025.49/6,090.85
  6. Step 6: Final answer
    x = 5,469.68

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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.