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Finding the Fourth Proportional to 7,845, 11,765 and 2,578.80

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Solution

The fourth proportional to 7,845, 11,765 and 2,578.80 is: 3,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 11,765 = 2,578.80 : x
  2. Step 2: Convert to fraction form
    7,845/11,765 = 2,578.80/x
  3. Step 3: Cross multiply
    7,845x = 11,765 × 2,578.80
  4. Step 4: Simplify right side
    7,845x = 30,339,582.00
  5. Step 5: Solve for x
    x = 30,339,582.00/7,845
  6. Step 6: Final answer
    x = 3,867.38

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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.