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Finding the Fourth Proportional to 3,823.79, 5,735.14 and 1,226.39

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Solution

The fourth proportional to 3,823.79, 5,735.14 and 1,226.39 is: 1,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.79 : 5,735.14 = 1,226.39 : x
  2. Step 2: Convert to fraction form
    3,823.79/5,735.14 = 1,226.39/x
  3. Step 3: Cross multiply
    3,823.79x = 5,735.14 × 1,226.39
  4. Step 4: Simplify right side
    3,823.79x = 7,033,486.60
  5. Step 5: Solve for x
    x = 7,033,486.60/3,823.79
  6. Step 6: Final answer
    x = 1,839.40

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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.