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Finding the Fourth Proportional to 7,228, 10,842 and 2,611

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Solution

The fourth proportional to 7,228, 10,842 and 2,611 is: 3,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228 : 10,842 = 2,611 : x
  2. Step 2: Convert to fraction form
    7,228/10,842 = 2,611/x
  3. Step 3: Cross multiply
    7,228x = 10,842 × 2,611
  4. Step 4: Simplify right side
    7,228x = 28,308,462
  5. Step 5: Solve for x
    x = 28,308,462/7,228
  6. Step 6: Final answer
    x = 3,916.50

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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.