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Finding the Fourth Proportional to 2,330.80, 3,500.40 and 2,227

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Solution

The fourth proportional to 2,330.80, 3,500.40 and 2,227 is: 3,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.80 : 3,500.40 = 2,227 : x
  2. Step 2: Convert to fraction form
    2,330.80/3,500.40 = 2,227/x
  3. Step 3: Cross multiply
    2,330.80x = 3,500.40 × 2,227
  4. Step 4: Simplify right side
    2,330.80x = 7,795,390.80
  5. Step 5: Solve for x
    x = 7,795,390.80/2,330.80
  6. Step 6: Final answer
    x = 3,344.51

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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.