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Finding the Fourth Proportional to 3,578.96, 4,936.47 and 3,458.54

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Solution

The fourth proportional to 3,578.96, 4,936.47 and 3,458.54 is: 4,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.96 : 4,936.47 = 3,458.54 : x
  2. Step 2: Convert to fraction form
    3,578.96/4,936.47 = 3,458.54/x
  3. Step 3: Cross multiply
    3,578.96x = 4,936.47 × 3,458.54
  4. Step 4: Simplify right side
    3,578.96x = 17,072,978.95
  5. Step 5: Solve for x
    x = 17,072,978.95/3,578.96
  6. Step 6: Final answer
    x = 4,770.37

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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.