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Finding the Fourth Proportional to 3,291.75, 4,939.77 and 1,211.77

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Solution

The fourth proportional to 3,291.75, 4,939.77 and 1,211.77 is: 1,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.75 : 4,939.77 = 1,211.77 : x
  2. Step 2: Convert to fraction form
    3,291.75/4,939.77 = 1,211.77/x
  3. Step 3: Cross multiply
    3,291.75x = 4,939.77 × 1,211.77
  4. Step 4: Simplify right side
    3,291.75x = 5,985,865.09
  5. Step 5: Solve for x
    x = 5,985,865.09/3,291.75
  6. Step 6: Final answer
    x = 1,818.44

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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.