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Finding the Fourth Proportional to 5,699.33, 7,865.08 and 3,181.43

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Solution

The fourth proportional to 5,699.33, 7,865.08 and 3,181.43 is: 4,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.33 : 7,865.08 = 3,181.43 : x
  2. Step 2: Convert to fraction form
    5,699.33/7,865.08 = 3,181.43/x
  3. Step 3: Cross multiply
    5,699.33x = 7,865.08 × 3,181.43
  4. Step 4: Simplify right side
    5,699.33x = 25,022,185.56
  5. Step 5: Solve for x
    x = 25,022,185.56/5,699.33
  6. Step 6: Final answer
    x = 4,390.38

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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.