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Finding the Fourth Proportional to 6,622, 9,933 and 1,691.64

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Solution

The fourth proportional to 6,622, 9,933 and 1,691.64 is: 2,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622 : 9,933 = 1,691.64 : x
  2. Step 2: Convert to fraction form
    6,622/9,933 = 1,691.64/x
  3. Step 3: Cross multiply
    6,622x = 9,933 × 1,691.64
  4. Step 4: Simplify right side
    6,622x = 16,803,060.12
  5. Step 5: Solve for x
    x = 16,803,060.12/6,622
  6. Step 6: Final answer
    x = 2,537.46

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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.