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Finding the Fourth Proportional to 7,868.00, 11,801.98 and 2,321.33

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Solution

The fourth proportional to 7,868.00, 11,801.98 and 2,321.33 is: 3,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.00 : 11,801.98 = 2,321.33 : x
  2. Step 2: Convert to fraction form
    7,868.00/11,801.98 = 2,321.33/x
  3. Step 3: Cross multiply
    7,868.00x = 11,801.98 × 2,321.33
  4. Step 4: Simplify right side
    7,868.00x = 27,396,327.18
  5. Step 5: Solve for x
    x = 27,396,327.18/7,868.00
  6. Step 6: Final answer
    x = 3,481.99

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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.