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Finding the Fourth Proportional to 6,900, 9,522 and 3,756.21

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Solution

The fourth proportional to 6,900, 9,522 and 3,756.21 is: 5,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 9,522 = 3,756.21 : x
  2. Step 2: Convert to fraction form
    6,900/9,522 = 3,756.21/x
  3. Step 3: Cross multiply
    6,900x = 9,522 × 3,756.21
  4. Step 4: Simplify right side
    6,900x = 35,766,631.62
  5. Step 5: Solve for x
    x = 35,766,631.62/6,900
  6. Step 6: Final answer
    x = 5,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.