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Finding the Fourth Proportional to 3,777.57, 5,212.89 and 2,099.08

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Solution

The fourth proportional to 3,777.57, 5,212.89 and 2,099.08 is: 2,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.57 : 5,212.89 = 2,099.08 : x
  2. Step 2: Convert to fraction form
    3,777.57/5,212.89 = 2,099.08/x
  3. Step 3: Cross multiply
    3,777.57x = 5,212.89 × 2,099.08
  4. Step 4: Simplify right side
    3,777.57x = 10,942,273.14
  5. Step 5: Solve for x
    x = 10,942,273.14/3,777.57
  6. Step 6: Final answer
    x = 2,896.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.