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Finding the Fourth Proportional to 6,990, 10,485 and 3,912

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Solution

The fourth proportional to 6,990, 10,485 and 3,912 is: 5,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990 : 10,485 = 3,912 : x
  2. Step 2: Convert to fraction form
    6,990/10,485 = 3,912/x
  3. Step 3: Cross multiply
    6,990x = 10,485 × 3,912
  4. Step 4: Simplify right side
    6,990x = 41,017,320
  5. Step 5: Solve for x
    x = 41,017,320/6,990
  6. Step 6: Final answer
    x = 5,868

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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.