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Finding the Fourth Proportional to 7,930.61, 11,896.11 and 2,999.33

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Solution

The fourth proportional to 7,930.61, 11,896.11 and 2,999.33 is: 4,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.61 : 11,896.11 = 2,999.33 : x
  2. Step 2: Convert to fraction form
    7,930.61/11,896.11 = 2,999.33/x
  3. Step 3: Cross multiply
    7,930.61x = 11,896.11 × 2,999.33
  4. Step 4: Simplify right side
    7,930.61x = 35,680,300.13
  5. Step 5: Solve for x
    x = 35,680,300.13/7,930.61
  6. Step 6: Final answer
    x = 4,499.06

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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.