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Finding the Fourth Proportional to 7,912.78, 11,870.86 and 2,366.56

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Solution

The fourth proportional to 7,912.78, 11,870.86 and 2,366.56 is: 3,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.78 : 11,870.86 = 2,366.56 : x
  2. Step 2: Convert to fraction form
    7,912.78/11,870.86 = 2,366.56/x
  3. Step 3: Cross multiply
    7,912.78x = 11,870.86 × 2,366.56
  4. Step 4: Simplify right side
    7,912.78x = 28,093,102.44
  5. Step 5: Solve for x
    x = 28,093,102.44/7,912.78
  6. Step 6: Final answer
    x = 3,550.35

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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.