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Finding the Fourth Proportional to 2,194.63, 3,289.21 and 1,099.32

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Solution

The fourth proportional to 2,194.63, 3,289.21 and 1,099.32 is: 1,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.63 : 3,289.21 = 1,099.32 : x
  2. Step 2: Convert to fraction form
    2,194.63/3,289.21 = 1,099.32/x
  3. Step 3: Cross multiply
    2,194.63x = 3,289.21 × 1,099.32
  4. Step 4: Simplify right side
    2,194.63x = 3,615,894.34
  5. Step 5: Solve for x
    x = 3,615,894.34/2,194.63
  6. Step 6: Final answer
    x = 1,647.61

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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.