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Finding the Fourth Proportional to 7,810.88, 11,709.36 and 2,879.33

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Solution

The fourth proportional to 7,810.88, 11,709.36 and 2,879.33 is: 4,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.88 : 11,709.36 = 2,879.33 : x
  2. Step 2: Convert to fraction form
    7,810.88/11,709.36 = 2,879.33/x
  3. Step 3: Cross multiply
    7,810.88x = 11,709.36 × 2,879.33
  4. Step 4: Simplify right side
    7,810.88x = 33,715,052.98
  5. Step 5: Solve for x
    x = 33,715,052.98/7,810.88
  6. Step 6: Final answer
    x = 4,316.42

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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.