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Finding the Fourth Proportional to 7,840.80, 11,764.84 and 2,912.15

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Solution

The fourth proportional to 7,840.80, 11,764.84 and 2,912.15 is: 4,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.80 : 11,764.84 = 2,912.15 : x
  2. Step 2: Convert to fraction form
    7,840.80/11,764.84 = 2,912.15/x
  3. Step 3: Cross multiply
    7,840.80x = 11,764.84 × 2,912.15
  4. Step 4: Simplify right side
    7,840.80x = 34,261,000.94
  5. Step 5: Solve for x
    x = 34,261,000.94/7,840.80
  6. Step 6: Final answer
    x = 4,369.58

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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.