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Finding the Fourth Proportional to 7,804.72, 11,707.14 and 2,611

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Solution

The fourth proportional to 7,804.72, 11,707.14 and 2,611 is: 3,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.72 : 11,707.14 = 2,611 : x
  2. Step 2: Convert to fraction form
    7,804.72/11,707.14 = 2,611/x
  3. Step 3: Cross multiply
    7,804.72x = 11,707.14 × 2,611
  4. Step 4: Simplify right side
    7,804.72x = 30,567,342.54
  5. Step 5: Solve for x
    x = 30,567,342.54/7,804.72
  6. Step 6: Final answer
    x = 3,916.52

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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.