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Finding the Fourth Proportional to 5,578.64, 8,367.22 and 3,084.46

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Solution

The fourth proportional to 5,578.64, 8,367.22 and 3,084.46 is: 4,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.64 : 8,367.22 = 3,084.46 : x
  2. Step 2: Convert to fraction form
    5,578.64/8,367.22 = 3,084.46/x
  3. Step 3: Cross multiply
    5,578.64x = 8,367.22 × 3,084.46
  4. Step 4: Simplify right side
    5,578.64x = 25,808,355.40
  5. Step 5: Solve for x
    x = 25,808,355.40/5,578.64
  6. Step 6: Final answer
    x = 4,626.28

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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.