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Finding the Fourth Proportional to 2,218, 3,327.16 and 850

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Solution

The fourth proportional to 2,218, 3,327.16 and 850 is: 1,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,327.16 = 850 : x
  2. Step 2: Convert to fraction form
    2,218/3,327.16 = 850/x
  3. Step 3: Cross multiply
    2,218x = 3,327.16 × 850
  4. Step 4: Simplify right side
    2,218x = 2,828,086
  5. Step 5: Solve for x
    x = 2,828,086/2,218
  6. Step 6: Final answer
    x = 1,275.06

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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.