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Finding the Fourth Proportional to 3,820.75, 5,731.86 and 1,847.74

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Solution

The fourth proportional to 3,820.75, 5,731.86 and 1,847.74 is: 2,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.75 : 5,731.86 = 1,847.74 : x
  2. Step 2: Convert to fraction form
    3,820.75/5,731.86 = 1,847.74/x
  3. Step 3: Cross multiply
    3,820.75x = 5,731.86 × 1,847.74
  4. Step 4: Simplify right side
    3,820.75x = 10,590,987.00
  5. Step 5: Solve for x
    x = 10,590,987.00/3,820.75
  6. Step 6: Final answer
    x = 2,771.97

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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.