Home / 3,826.24-5,744.62-1,978.63

Finding the Fourth Proportional to 3,826.24, 5,744.62 and 1,978.63

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Solution

The fourth proportional to 3,826.24, 5,744.62 and 1,978.63 is: 2,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.24 : 5,744.62 = 1,978.63 : x
  2. Step 2: Convert to fraction form
    3,826.24/5,744.62 = 1,978.63/x
  3. Step 3: Cross multiply
    3,826.24x = 5,744.62 × 1,978.63
  4. Step 4: Simplify right side
    3,826.24x = 11,366,465.58
  5. Step 5: Solve for x
    x = 11,366,465.58/3,826.24
  6. Step 6: Final answer
    x = 2,970.66

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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.