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Finding the Fourth Proportional to 6,481.60, 8,944.64 and 3,687.04

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Solution

The fourth proportional to 6,481.60, 8,944.64 and 3,687.04 is: 5,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.60 : 8,944.64 = 3,687.04 : x
  2. Step 2: Convert to fraction form
    6,481.60/8,944.64 = 3,687.04/x
  3. Step 3: Cross multiply
    6,481.60x = 8,944.64 × 3,687.04
  4. Step 4: Simplify right side
    6,481.60x = 32,979,245.47
  5. Step 5: Solve for x
    x = 32,979,245.47/6,481.60
  6. Step 6: Final answer
    x = 5,088.13

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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.