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Finding the Fourth Proportional to 3,291.94, 4,939.05 and 2,057.89

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Solution

The fourth proportional to 3,291.94, 4,939.05 and 2,057.89 is: 3,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.94 : 4,939.05 = 2,057.89 : x
  2. Step 2: Convert to fraction form
    3,291.94/4,939.05 = 2,057.89/x
  3. Step 3: Cross multiply
    3,291.94x = 4,939.05 × 2,057.89
  4. Step 4: Simplify right side
    3,291.94x = 10,164,021.60
  5. Step 5: Solve for x
    x = 10,164,021.60/3,291.94
  6. Step 6: Final answer
    x = 3,087.55

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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.