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Finding the Fourth Proportional to 5,482.90, 8,222.46 and 2,195.14

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Solution

The fourth proportional to 5,482.90, 8,222.46 and 2,195.14 is: 3,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.90 : 8,222.46 = 2,195.14 : x
  2. Step 2: Convert to fraction form
    5,482.90/8,222.46 = 2,195.14/x
  3. Step 3: Cross multiply
    5,482.90x = 8,222.46 × 2,195.14
  4. Step 4: Simplify right side
    5,482.90x = 18,049,450.84
  5. Step 5: Solve for x
    x = 18,049,450.84/5,482.90
  6. Step 6: Final answer
    x = 3,291.95

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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.