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Finding the Fourth Proportional to 7,840.62, 11,763.98 and 3,454.98

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Solution

The fourth proportional to 7,840.62, 11,763.98 and 3,454.98 is: 5,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.62 : 11,763.98 = 3,454.98 : x
  2. Step 2: Convert to fraction form
    7,840.62/11,763.98 = 3,454.98/x
  3. Step 3: Cross multiply
    7,840.62x = 11,763.98 × 3,454.98
  4. Step 4: Simplify right side
    7,840.62x = 40,644,315.62
  5. Step 5: Solve for x
    x = 40,644,315.62/7,840.62
  6. Step 6: Final answer
    x = 5,183.81

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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.