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Finding the Fourth Proportional to 3,168.46, 4,752.78 and 2,446.84

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Solution

The fourth proportional to 3,168.46, 4,752.78 and 2,446.84 is: 3,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.46 : 4,752.78 = 2,446.84 : x
  2. Step 2: Convert to fraction form
    3,168.46/4,752.78 = 2,446.84/x
  3. Step 3: Cross multiply
    3,168.46x = 4,752.78 × 2,446.84
  4. Step 4: Simplify right side
    3,168.46x = 11,629,292.22
  5. Step 5: Solve for x
    x = 11,629,292.22/3,168.46
  6. Step 6: Final answer
    x = 3,670.33

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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.