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Finding the Fourth Proportional to 3,825, 5,738.46 and 1,089

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Solution

The fourth proportional to 3,825, 5,738.46 and 1,089 is: 1,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,738.46 = 1,089 : x
  2. Step 2: Convert to fraction form
    3,825/5,738.46 = 1,089/x
  3. Step 3: Cross multiply
    3,825x = 5,738.46 × 1,089
  4. Step 4: Simplify right side
    3,825x = 6,249,182.94
  5. Step 5: Solve for x
    x = 6,249,182.94/3,825
  6. Step 6: Final answer
    x = 1,633.77

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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.