Home / 7,722.28-11,583.96-3,825.64

Finding the Fourth Proportional to 7,722.28, 11,583.96 and 3,825.64

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Solution

The fourth proportional to 7,722.28, 11,583.96 and 3,825.64 is: 5,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.28 : 11,583.96 = 3,825.64 : x
  2. Step 2: Convert to fraction form
    7,722.28/11,583.96 = 3,825.64/x
  3. Step 3: Cross multiply
    7,722.28x = 11,583.96 × 3,825.64
  4. Step 4: Simplify right side
    7,722.28x = 44,316,060.73
  5. Step 5: Solve for x
    x = 44,316,060.73/7,722.28
  6. Step 6: Final answer
    x = 5,738.73

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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.