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Finding the Fourth Proportional to 5,490.90, 8,222.25 and 3,022.96

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Solution

The fourth proportional to 5,490.90, 8,222.25 and 3,022.96 is: 4,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.90 : 8,222.25 = 3,022.96 : x
  2. Step 2: Convert to fraction form
    5,490.90/8,222.25 = 3,022.96/x
  3. Step 3: Cross multiply
    5,490.90x = 8,222.25 × 3,022.96
  4. Step 4: Simplify right side
    5,490.90x = 24,855,532.86
  5. Step 5: Solve for x
    x = 24,855,532.86/5,490.90
  6. Step 6: Final answer
    x = 4,526.68

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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.