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Finding the Fourth Proportional to 3,706.56, 5,115.14 and 2,214.20

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Solution

The fourth proportional to 3,706.56, 5,115.14 and 2,214.20 is: 3,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.56 : 5,115.14 = 2,214.20 : x
  2. Step 2: Convert to fraction form
    3,706.56/5,115.14 = 2,214.20/x
  3. Step 3: Cross multiply
    3,706.56x = 5,115.14 × 2,214.20
  4. Step 4: Simplify right side
    3,706.56x = 11,325,942.99
  5. Step 5: Solve for x
    x = 11,325,942.99/3,706.56
  6. Step 6: Final answer
    x = 3,055.65

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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.