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Finding the Fourth Proportional to 7,765.98, 11,649.00 and 3,085.69

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Solution

The fourth proportional to 7,765.98, 11,649.00 and 3,085.69 is: 4,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.98 : 11,649.00 = 3,085.69 : x
  2. Step 2: Convert to fraction form
    7,765.98/11,649.00 = 3,085.69/x
  3. Step 3: Cross multiply
    7,765.98x = 11,649.00 × 3,085.69
  4. Step 4: Simplify right side
    7,765.98x = 35,945,136.85
  5. Step 5: Solve for x
    x = 35,945,136.85/7,765.98
  6. Step 6: Final answer
    x = 4,628.54

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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.