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Finding the Fourth Proportional to 7,806.92, 11,709.99 and 2,876.22

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Solution

The fourth proportional to 7,806.92, 11,709.99 and 2,876.22 is: 4,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.92 : 11,709.99 = 2,876.22 : x
  2. Step 2: Convert to fraction form
    7,806.92/11,709.99 = 2,876.22/x
  3. Step 3: Cross multiply
    7,806.92x = 11,709.99 × 2,876.22
  4. Step 4: Simplify right side
    7,806.92x = 33,680,507.44
  5. Step 5: Solve for x
    x = 33,680,507.44/7,806.92
  6. Step 6: Final answer
    x = 4,314.19

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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.