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Finding the Fourth Proportional to 7,872.98, 11,809.50 and 2,942.56

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Solution

The fourth proportional to 7,872.98, 11,809.50 and 2,942.56 is: 4,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.98 : 11,809.50 = 2,942.56 : x
  2. Step 2: Convert to fraction form
    7,872.98/11,809.50 = 2,942.56/x
  3. Step 3: Cross multiply
    7,872.98x = 11,809.50 × 2,942.56
  4. Step 4: Simplify right side
    7,872.98x = 34,750,162.32
  5. Step 5: Solve for x
    x = 34,750,162.32/7,872.98
  6. Step 6: Final answer
    x = 4,413.85

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1.5x scale

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.