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Finding the Fourth Proportional to 7,846.50, 11,768.88 and 2,299.89

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Solution

The fourth proportional to 7,846.50, 11,768.88 and 2,299.89 is: 3,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.50 : 11,768.88 = 2,299.89 : x
  2. Step 2: Convert to fraction form
    7,846.50/11,768.88 = 2,299.89/x
  3. Step 3: Cross multiply
    7,846.50x = 11,768.88 × 2,299.89
  4. Step 4: Simplify right side
    7,846.50x = 27,067,182.18
  5. Step 5: Solve for x
    x = 27,067,182.18/7,846.50
  6. Step 6: Final answer
    x = 3,449.59

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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.