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Finding the Fourth Proportional to 7,817.78, 11,716.68 and 3,923.30

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Solution

The fourth proportional to 7,817.78, 11,716.68 and 3,923.30 is: 5,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.78 : 11,716.68 = 3,923.30 : x
  2. Step 2: Convert to fraction form
    7,817.78/11,716.68 = 3,923.30/x
  3. Step 3: Cross multiply
    7,817.78x = 11,716.68 × 3,923.30
  4. Step 4: Simplify right side
    7,817.78x = 45,968,050.64
  5. Step 5: Solve for x
    x = 45,968,050.64/7,817.78
  6. Step 6: Final answer
    x = 5,879.94

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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.