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Finding the Fourth Proportional to 7,806.77, 11,707.21 and 2,540.39

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Solution

The fourth proportional to 7,806.77, 11,707.21 and 2,540.39 is: 3,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.77 : 11,707.21 = 2,540.39 : x
  2. Step 2: Convert to fraction form
    7,806.77/11,707.21 = 2,540.39/x
  3. Step 3: Cross multiply
    7,806.77x = 11,707.21 × 2,540.39
  4. Step 4: Simplify right side
    7,806.77x = 29,740,902.13
  5. Step 5: Solve for x
    x = 29,740,902.13/7,806.77
  6. Step 6: Final answer
    x = 3,809.63

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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.