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Finding the Fourth Proportional to 3,019.41, 4,528.97 and 828.15

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Solution

The fourth proportional to 3,019.41, 4,528.97 and 828.15 is: 1,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.41 : 4,528.97 = 828.15 : x
  2. Step 2: Convert to fraction form
    3,019.41/4,528.97 = 828.15/x
  3. Step 3: Cross multiply
    3,019.41x = 4,528.97 × 828.15
  4. Step 4: Simplify right side
    3,019.41x = 3,750,662.36
  5. Step 5: Solve for x
    x = 3,750,662.36/3,019.41
  6. Step 6: Final answer
    x = 1,242.18

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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.