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Finding the Fourth Proportional to 3,463.98, 4,778.62 and 2,268.43

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Solution

The fourth proportional to 3,463.98, 4,778.62 and 2,268.43 is: 3,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 4,778.62 = 2,268.43 : x
  2. Step 2: Convert to fraction form
    3,463.98/4,778.62 = 2,268.43/x
  3. Step 3: Cross multiply
    3,463.98x = 4,778.62 × 2,268.43
  4. Step 4: Simplify right side
    3,463.98x = 10,839,967.17
  5. Step 5: Solve for x
    x = 10,839,967.17/3,463.98
  6. Step 6: Final answer
    x = 3,129.34

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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.