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Finding the Fourth Proportional to 6,078.40, 8,388.19 and 3,283.90

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Solution

The fourth proportional to 6,078.40, 8,388.19 and 3,283.90 is: 4,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.40 : 8,388.19 = 3,283.90 : x
  2. Step 2: Convert to fraction form
    6,078.40/8,388.19 = 3,283.90/x
  3. Step 3: Cross multiply
    6,078.40x = 8,388.19 × 3,283.90
  4. Step 4: Simplify right side
    6,078.40x = 27,545,977.14
  5. Step 5: Solve for x
    x = 27,545,977.14/6,078.40
  6. Step 6: Final answer
    x = 4,531.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.