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Finding the Fourth Proportional to 3,578.89, 5,367.73 and 946.43

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Solution

The fourth proportional to 3,578.89, 5,367.73 and 946.43 is: 1,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.89 : 5,367.73 = 946.43 : x
  2. Step 2: Convert to fraction form
    3,578.89/5,367.73 = 946.43/x
  3. Step 3: Cross multiply
    3,578.89x = 5,367.73 × 946.43
  4. Step 4: Simplify right side
    3,578.89x = 5,080,180.70
  5. Step 5: Solve for x
    x = 5,080,180.70/3,578.89
  6. Step 6: Final answer
    x = 1,419.49

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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.