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Finding the Fourth Proportional to 3,830.44, 5,743.08 and 1,330.99

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Solution

The fourth proportional to 3,830.44, 5,743.08 and 1,330.99 is: 1,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.44 : 5,743.08 = 1,330.99 : x
  2. Step 2: Convert to fraction form
    3,830.44/5,743.08 = 1,330.99/x
  3. Step 3: Cross multiply
    3,830.44x = 5,743.08 × 1,330.99
  4. Step 4: Simplify right side
    3,830.44x = 7,643,982.05
  5. Step 5: Solve for x
    x = 7,643,982.05/3,830.44
  6. Step 6: Final answer
    x = 1,995.59

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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.