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Finding the Fourth Proportional to 5,188.74, 7,783.60 and 2,067.99

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Solution

The fourth proportional to 5,188.74, 7,783.60 and 2,067.99 is: 3,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.74 : 7,783.60 = 2,067.99 : x
  2. Step 2: Convert to fraction form
    5,188.74/7,783.60 = 2,067.99/x
  3. Step 3: Cross multiply
    5,188.74x = 7,783.60 × 2,067.99
  4. Step 4: Simplify right side
    5,188.74x = 16,096,406.96
  5. Step 5: Solve for x
    x = 16,096,406.96/5,188.74
  6. Step 6: Final answer
    x = 3,102.18

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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.