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Finding the Fourth Proportional to 7,682, 11,523 and 2,210

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Solution

The fourth proportional to 7,682, 11,523 and 2,210 is: 3,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682 : 11,523 = 2,210 : x
  2. Step 2: Convert to fraction form
    7,682/11,523 = 2,210/x
  3. Step 3: Cross multiply
    7,682x = 11,523 × 2,210
  4. Step 4: Simplify right side
    7,682x = 25,465,830
  5. Step 5: Solve for x
    x = 25,465,830/7,682
  6. Step 6: Final answer
    x = 3,315

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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.