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Finding the Fourth Proportional to 7,866.92, 11,802.43 and 2,936.60

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Solution

The fourth proportional to 7,866.92, 11,802.43 and 2,936.60 is: 4,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.92 : 11,802.43 = 2,936.60 : x
  2. Step 2: Convert to fraction form
    7,866.92/11,802.43 = 2,936.60/x
  3. Step 3: Cross multiply
    7,866.92x = 11,802.43 × 2,936.60
  4. Step 4: Simplify right side
    7,866.92x = 34,659,015.94
  5. Step 5: Solve for x
    x = 34,659,015.94/7,866.92
  6. Step 6: Final answer
    x = 4,405.67

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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.