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Finding the Fourth Proportional to 7,722.55, 11,583.73 and 1,879.21

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Solution

The fourth proportional to 7,722.55, 11,583.73 and 1,879.21 is: 2,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.55 : 11,583.73 = 1,879.21 : x
  2. Step 2: Convert to fraction form
    7,722.55/11,583.73 = 1,879.21/x
  3. Step 3: Cross multiply
    7,722.55x = 11,583.73 × 1,879.21
  4. Step 4: Simplify right side
    7,722.55x = 21,768,261.25
  5. Step 5: Solve for x
    x = 21,768,261.25/7,722.55
  6. Step 6: Final answer
    x = 2,818.79

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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.