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Finding the Fourth Proportional to 7,287.64, 10,923.92 and 3,993.78

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Solution

The fourth proportional to 7,287.64, 10,923.92 and 3,993.78 is: 5,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.64 : 10,923.92 = 3,993.78 : x
  2. Step 2: Convert to fraction form
    7,287.64/10,923.92 = 3,993.78/x
  3. Step 3: Cross multiply
    7,287.64x = 10,923.92 × 3,993.78
  4. Step 4: Simplify right side
    7,287.64x = 43,627,733.22
  5. Step 5: Solve for x
    x = 43,627,733.22/7,287.64
  6. Step 6: Final answer
    x = 5,986.54

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Why These Related Problems?

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