Home / 7,826.85-11,741.43-2,279.48

Finding the Fourth Proportional to 7,826.85, 11,741.43 and 2,279.48

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Solution

The fourth proportional to 7,826.85, 11,741.43 and 2,279.48 is: 3,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.85 : 11,741.43 = 2,279.48 : x
  2. Step 2: Convert to fraction form
    7,826.85/11,741.43 = 2,279.48/x
  3. Step 3: Cross multiply
    7,826.85x = 11,741.43 × 2,279.48
  4. Step 4: Simplify right side
    7,826.85x = 26,764,296.15
  5. Step 5: Solve for x
    x = 26,764,296.15/7,826.85
  6. Step 6: Final answer
    x = 3,419.55

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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.