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Finding the Fourth Proportional to 3,803.44, 5,250 and 2,231.50

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Solution

The fourth proportional to 3,803.44, 5,250 and 2,231.50 is: 3,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.44 : 5,250 = 2,231.50 : x
  2. Step 2: Convert to fraction form
    3,803.44/5,250 = 2,231.50/x
  3. Step 3: Cross multiply
    3,803.44x = 5,250 × 2,231.50
  4. Step 4: Simplify right side
    3,803.44x = 11,715,375
  5. Step 5: Solve for x
    x = 11,715,375/3,803.44
  6. Step 6: Final answer
    x = 3,080.21

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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.