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Finding the Fourth Proportional to 3,677.94, 5,517.45 and 1,213.38

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Solution

The fourth proportional to 3,677.94, 5,517.45 and 1,213.38 is: 1,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.94 : 5,517.45 = 1,213.38 : x
  2. Step 2: Convert to fraction form
    3,677.94/5,517.45 = 1,213.38/x
  3. Step 3: Cross multiply
    3,677.94x = 5,517.45 × 1,213.38
  4. Step 4: Simplify right side
    3,677.94x = 6,694,763.48
  5. Step 5: Solve for x
    x = 6,694,763.48/3,677.94
  6. Step 6: Final answer
    x = 1,820.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.