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Finding the Fourth Proportional to 7,764.82, 11,647.82 and 2,570.68

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Solution

The fourth proportional to 7,764.82, 11,647.82 and 2,570.68 is: 3,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.82 : 11,647.82 = 2,570.68 : x
  2. Step 2: Convert to fraction form
    7,764.82/11,647.82 = 2,570.68/x
  3. Step 3: Cross multiply
    7,764.82x = 11,647.82 × 2,570.68
  4. Step 4: Simplify right side
    7,764.82x = 29,942,817.92
  5. Step 5: Solve for x
    x = 29,942,817.92/7,764.82
  6. Step 6: Final answer
    x = 3,856.22

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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.