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Finding the Fourth Proportional to 7,876.87, 11,815.84 and 2,611.67

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Solution

The fourth proportional to 7,876.87, 11,815.84 and 2,611.67 is: 3,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.87 : 11,815.84 = 2,611.67 : x
  2. Step 2: Convert to fraction form
    7,876.87/11,815.84 = 2,611.67/x
  3. Step 3: Cross multiply
    7,876.87x = 11,815.84 × 2,611.67
  4. Step 4: Simplify right side
    7,876.87x = 30,859,019.04
  5. Step 5: Solve for x
    x = 30,859,019.04/7,876.87
  6. Step 6: Final answer
    x = 3,917.68

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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.