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Finding the Fourth Proportional to 7,221.88, 10,825.48 and 2,837.60

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Solution

The fourth proportional to 7,221.88, 10,825.48 and 2,837.60 is: 4,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.88 : 10,825.48 = 2,837.60 : x
  2. Step 2: Convert to fraction form
    7,221.88/10,825.48 = 2,837.60/x
  3. Step 3: Cross multiply
    7,221.88x = 10,825.48 × 2,837.60
  4. Step 4: Simplify right side
    7,221.88x = 30,718,382.05
  5. Step 5: Solve for x
    x = 30,718,382.05/7,221.88
  6. Step 6: Final answer
    x = 4,253.52

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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.