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Finding the Fourth Proportional to 6,442, 9,663 and 1,825

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Solution

The fourth proportional to 6,442, 9,663 and 1,825 is: 2,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 9,663 = 1,825 : x
  2. Step 2: Convert to fraction form
    6,442/9,663 = 1,825/x
  3. Step 3: Cross multiply
    6,442x = 9,663 × 1,825
  4. Step 4: Simplify right side
    6,442x = 17,634,975
  5. Step 5: Solve for x
    x = 17,634,975/6,442
  6. Step 6: Final answer
    x = 2,737.50

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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.