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Finding the Fourth Proportional to 7,804, 11,707.26 and 2,611.09

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Solution

The fourth proportional to 7,804, 11,707.26 and 2,611.09 is: 3,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 11,707.26 = 2,611.09 : x
  2. Step 2: Convert to fraction form
    7,804/11,707.26 = 2,611.09/x
  3. Step 3: Cross multiply
    7,804x = 11,707.26 × 2,611.09
  4. Step 4: Simplify right side
    7,804x = 30,568,709.51
  5. Step 5: Solve for x
    x = 30,568,709.51/7,804
  6. Step 6: Final answer
    x = 3,917.06

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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.