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Finding the Fourth Proportional to 3,777.21, 5,212.47 and 2,098.62

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Solution

The fourth proportional to 3,777.21, 5,212.47 and 2,098.62 is: 2,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.21 : 5,212.47 = 2,098.62 : x
  2. Step 2: Convert to fraction form
    3,777.21/5,212.47 = 2,098.62/x
  3. Step 3: Cross multiply
    3,777.21x = 5,212.47 × 2,098.62
  4. Step 4: Simplify right side
    3,777.21x = 10,938,993.79
  5. Step 5: Solve for x
    x = 10,938,993.79/3,777.21
  6. Step 6: Final answer
    x = 2,896.05

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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.