Home / 3,844-5,766.41-1,763.65

Finding the Fourth Proportional to 3,844, 5,766.41 and 1,763.65

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Solution

The fourth proportional to 3,844, 5,766.41 and 1,763.65 is: 2,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844 : 5,766.41 = 1,763.65 : x
  2. Step 2: Convert to fraction form
    3,844/5,766.41 = 1,763.65/x
  3. Step 3: Cross multiply
    3,844x = 5,766.41 × 1,763.65
  4. Step 4: Simplify right side
    3,844x = 10,169,920.18
  5. Step 5: Solve for x
    x = 10,169,920.18/3,844
  6. Step 6: Final answer
    x = 2,645.66

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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.