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Finding the Fourth Proportional to 27,864, 41,792.64 and 7,087.68

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Solution

The fourth proportional to 27,864, 41,792.64 and 7,087.68 is: 10,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 41,792.64 = 7,087.68 : x
  2. Step 2: Convert to fraction form
    27,864/41,792.64 = 7,087.68/x
  3. Step 3: Cross multiply
    27,864x = 41,792.64 × 7,087.68
  4. Step 4: Simplify right side
    27,864x = 296,212,858.68
  5. Step 5: Solve for x
    x = 296,212,858.68/27,864
  6. Step 6: Final answer
    x = 10,630.67

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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.