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Finding the Fourth Proportional to 6,481.48, 8,945.24 and 3,686.44

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Solution

The fourth proportional to 6,481.48, 8,945.24 and 3,686.44 is: 5,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.48 : 8,945.24 = 3,686.44 : x
  2. Step 2: Convert to fraction form
    6,481.48/8,945.24 = 3,686.44/x
  3. Step 3: Cross multiply
    6,481.48x = 8,945.24 × 3,686.44
  4. Step 4: Simplify right side
    6,481.48x = 32,976,090.55
  5. Step 5: Solve for x
    x = 32,976,090.55/6,481.48
  6. Step 6: Final answer
    x = 5,087.74

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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.