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Finding the Fourth Proportional to 7,078.68, 10,619.36 and 3,381.20

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Solution

The fourth proportional to 7,078.68, 10,619.36 and 3,381.20 is: 5,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.68 : 10,619.36 = 3,381.20 : x
  2. Step 2: Convert to fraction form
    7,078.68/10,619.36 = 3,381.20/x
  3. Step 3: Cross multiply
    7,078.68x = 10,619.36 × 3,381.20
  4. Step 4: Simplify right side
    7,078.68x = 35,906,180.03
  5. Step 5: Solve for x
    x = 35,906,180.03/7,078.68
  6. Step 6: Final answer
    x = 5,072.44

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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.