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Finding the Fourth Proportional to 7,870.92, 11,822.78 and 6,640.73

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Solution

The fourth proportional to 7,870.92, 11,822.78 and 6,640.73 is: 9,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.92 : 11,822.78 = 6,640.73 : x
  2. Step 2: Convert to fraction form
    7,870.92/11,822.78 = 6,640.73/x
  3. Step 3: Cross multiply
    7,870.92x = 11,822.78 × 6,640.73
  4. Step 4: Simplify right side
    7,870.92x = 78,511,889.83
  5. Step 5: Solve for x
    x = 78,511,889.83/7,870.92
  6. Step 6: Final answer
    x = 9,974.93

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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.