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Finding the Fourth Proportional to 7,761.82, 11,647.50 and 3,379.63

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Solution

The fourth proportional to 7,761.82, 11,647.50 and 3,379.63 is: 5,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.82 : 11,647.50 = 3,379.63 : x
  2. Step 2: Convert to fraction form
    7,761.82/11,647.50 = 3,379.63/x
  3. Step 3: Cross multiply
    7,761.82x = 11,647.50 × 3,379.63
  4. Step 4: Simplify right side
    7,761.82x = 39,364,240.43
  5. Step 5: Solve for x
    x = 39,364,240.43/7,761.82
  6. Step 6: Final answer
    x = 5,071.52

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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.