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Finding the Fourth Proportional to 3,578.60, 5,367.63 and 1,822.50

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Solution

The fourth proportional to 3,578.60, 5,367.63 and 1,822.50 is: 2,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.60 : 5,367.63 = 1,822.50 : x
  2. Step 2: Convert to fraction form
    3,578.60/5,367.63 = 1,822.50/x
  3. Step 3: Cross multiply
    3,578.60x = 5,367.63 × 1,822.50
  4. Step 4: Simplify right side
    3,578.60x = 9,782,505.68
  5. Step 5: Solve for x
    x = 9,782,505.68/3,578.60
  6. Step 6: Final answer
    x = 2,733.61

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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.