Home / 3,825-5,736.69-3,098.70

Finding the Fourth Proportional to 3,825, 5,736.69 and 3,098.70

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Solution

The fourth proportional to 3,825, 5,736.69 and 3,098.70 is: 4,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,736.69 = 3,098.70 : x
  2. Step 2: Convert to fraction form
    3,825/5,736.69 = 3,098.70/x
  3. Step 3: Cross multiply
    3,825x = 5,736.69 × 3,098.70
  4. Step 4: Simplify right side
    3,825x = 17,776,281.30
  5. Step 5: Solve for x
    x = 17,776,281.30/3,825
  6. Step 6: Final answer
    x = 4,647.39

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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.