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Finding the Fourth Proportional to 6,481.92, 9,722.88 and 1,864.92

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Solution

The fourth proportional to 6,481.92, 9,722.88 and 1,864.92 is: 2,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.92 : 9,722.88 = 1,864.92 : x
  2. Step 2: Convert to fraction form
    6,481.92/9,722.88 = 1,864.92/x
  3. Step 3: Cross multiply
    6,481.92x = 9,722.88 × 1,864.92
  4. Step 4: Simplify right side
    6,481.92x = 18,132,393.37
  5. Step 5: Solve for x
    x = 18,132,393.37/6,481.92
  6. Step 6: Final answer
    x = 2,797.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.