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Finding the Fourth Proportional to 2,211.72, 3,052.05 and 1,216.80

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Solution

The fourth proportional to 2,211.72, 3,052.05 and 1,216.80 is: 1,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.72 : 3,052.05 = 1,216.80 : x
  2. Step 2: Convert to fraction form
    2,211.72/3,052.05 = 1,216.80/x
  3. Step 3: Cross multiply
    2,211.72x = 3,052.05 × 1,216.80
  4. Step 4: Simplify right side
    2,211.72x = 3,713,734.44
  5. Step 5: Solve for x
    x = 3,713,734.44/2,211.72
  6. Step 6: Final answer
    x = 1,679.12

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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.