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Finding the Fourth Proportional to 6,771.94, 10,158 and 2,091.89

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Solution

The fourth proportional to 6,771.94, 10,158 and 2,091.89 is: 3,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.94 : 10,158 = 2,091.89 : x
  2. Step 2: Convert to fraction form
    6,771.94/10,158 = 2,091.89/x
  3. Step 3: Cross multiply
    6,771.94x = 10,158 × 2,091.89
  4. Step 4: Simplify right side
    6,771.94x = 21,249,418.62
  5. Step 5: Solve for x
    x = 21,249,418.62/6,771.94
  6. Step 6: Final answer
    x = 3,137.86

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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.