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Finding the Fourth Proportional to 7,841.36, 11,760.81 and 2,293.40

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Solution

The fourth proportional to 7,841.36, 11,760.81 and 2,293.40 is: 3,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.36 : 11,760.81 = 2,293.40 : x
  2. Step 2: Convert to fraction form
    7,841.36/11,760.81 = 2,293.40/x
  3. Step 3: Cross multiply
    7,841.36x = 11,760.81 × 2,293.40
  4. Step 4: Simplify right side
    7,841.36x = 26,972,241.65
  5. Step 5: Solve for x
    x = 26,972,241.65/7,841.36
  6. Step 6: Final answer
    x = 3,439.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.