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Finding the Fourth Proportional to 3,213.68, 4,433.87 and 1,797.18

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Solution

The fourth proportional to 3,213.68, 4,433.87 and 1,797.18 is: 2,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.68 : 4,433.87 = 1,797.18 : x
  2. Step 2: Convert to fraction form
    3,213.68/4,433.87 = 1,797.18/x
  3. Step 3: Cross multiply
    3,213.68x = 4,433.87 × 1,797.18
  4. Step 4: Simplify right side
    3,213.68x = 7,968,462.49
  5. Step 5: Solve for x
    x = 7,968,462.49/3,213.68
  6. Step 6: Final answer
    x = 2,479.54

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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.