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Finding the Fourth Proportional to 3,980.67, 5,493.29 and 2,212.25

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Solution

The fourth proportional to 3,980.67, 5,493.29 and 2,212.25 is: 3,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.67 : 5,493.29 = 2,212.25 : x
  2. Step 2: Convert to fraction form
    3,980.67/5,493.29 = 2,212.25/x
  3. Step 3: Cross multiply
    3,980.67x = 5,493.29 × 2,212.25
  4. Step 4: Simplify right side
    3,980.67x = 12,152,492.27
  5. Step 5: Solve for x
    x = 12,152,492.27/3,980.67
  6. Step 6: Final answer
    x = 3,052.88

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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.