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Finding the Fourth Proportional to 3,076.68, 4,245.84 and 1,679.43

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Solution

The fourth proportional to 3,076.68, 4,245.84 and 1,679.43 is: 2,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.68 : 4,245.84 = 1,679.43 : x
  2. Step 2: Convert to fraction form
    3,076.68/4,245.84 = 1,679.43/x
  3. Step 3: Cross multiply
    3,076.68x = 4,245.84 × 1,679.43
  4. Step 4: Simplify right side
    3,076.68x = 7,130,591.07
  5. Step 5: Solve for x
    x = 7,130,591.07/3,076.68
  6. Step 6: Final answer
    x = 2,317.63

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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.