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Finding the Fourth Proportional to 6,806.15, 10,213.10 and 2,645.61

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Solution

The fourth proportional to 6,806.15, 10,213.10 and 2,645.61 is: 3,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.15 : 10,213.10 = 2,645.61 : x
  2. Step 2: Convert to fraction form
    6,806.15/10,213.10 = 2,645.61/x
  3. Step 3: Cross multiply
    6,806.15x = 10,213.10 × 2,645.61
  4. Step 4: Simplify right side
    6,806.15x = 27,019,866.26
  5. Step 5: Solve for x
    x = 27,019,866.26/6,806.15
  6. Step 6: Final answer
    x = 3,969.92

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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.