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Finding the Fourth Proportional to 6,185.50, 9,279.69 and 2,081.50

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Solution

The fourth proportional to 6,185.50, 9,279.69 and 2,081.50 is: 3,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.50 : 9,279.69 = 2,081.50 : x
  2. Step 2: Convert to fraction form
    6,185.50/9,279.69 = 2,081.50/x
  3. Step 3: Cross multiply
    6,185.50x = 9,279.69 × 2,081.50
  4. Step 4: Simplify right side
    6,185.50x = 19,315,674.74
  5. Step 5: Solve for x
    x = 19,315,674.74/6,185.50
  6. Step 6: Final answer
    x = 3,122.73

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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.