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Finding the Fourth Proportional to 9,290.92, 12,819 and 8,109.76

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Solution

The fourth proportional to 9,290.92, 12,819 and 8,109.76 is: 11,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.92 : 12,819 = 8,109.76 : x
  2. Step 2: Convert to fraction form
    9,290.92/12,819 = 8,109.76/x
  3. Step 3: Cross multiply
    9,290.92x = 12,819 × 8,109.76
  4. Step 4: Simplify right side
    9,290.92x = 103,959,013.44
  5. Step 5: Solve for x
    x = 103,959,013.44/9,290.92
  6. Step 6: Final answer
    x = 11,189.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.