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Finding the Fourth Proportional to 5,683.90, 7,843.78 and 3,199.90

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Solution

The fourth proportional to 5,683.90, 7,843.78 and 3,199.90 is: 4,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.90 : 7,843.78 = 3,199.90 : x
  2. Step 2: Convert to fraction form
    5,683.90/7,843.78 = 3,199.90/x
  3. Step 3: Cross multiply
    5,683.90x = 7,843.78 × 3,199.90
  4. Step 4: Simplify right side
    5,683.90x = 25,099,311.62
  5. Step 5: Solve for x
    x = 25,099,311.62/5,683.90
  6. Step 6: Final answer
    x = 4,415.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.