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Finding the Fourth Proportional to 3,194.86, 4,792.86 and 1,220.41

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Solution

The fourth proportional to 3,194.86, 4,792.86 and 1,220.41 is: 1,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.86 : 4,792.86 = 1,220.41 : x
  2. Step 2: Convert to fraction form
    3,194.86/4,792.86 = 1,220.41/x
  3. Step 3: Cross multiply
    3,194.86x = 4,792.86 × 1,220.41
  4. Step 4: Simplify right side
    3,194.86x = 5,849,254.27
  5. Step 5: Solve for x
    x = 5,849,254.27/3,194.86
  6. Step 6: Final answer
    x = 1,830.83

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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.