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Finding the Fourth Proportional to 3,771.94, 5,653.03 and 2,106.03

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Solution

The fourth proportional to 3,771.94, 5,653.03 and 2,106.03 is: 3,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.94 : 5,653.03 = 2,106.03 : x
  2. Step 2: Convert to fraction form
    3,771.94/5,653.03 = 2,106.03/x
  3. Step 3: Cross multiply
    3,771.94x = 5,653.03 × 2,106.03
  4. Step 4: Simplify right side
    3,771.94x = 11,905,450.77
  5. Step 5: Solve for x
    x = 11,905,450.77/3,771.94
  6. Step 6: Final answer
    x = 3,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.