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Finding the Fourth Proportional to 7,771.39, 11,658.24 and 2,773.37

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Solution

The fourth proportional to 7,771.39, 11,658.24 and 2,773.37 is: 4,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.39 : 11,658.24 = 2,773.37 : x
  2. Step 2: Convert to fraction form
    7,771.39/11,658.24 = 2,773.37/x
  3. Step 3: Cross multiply
    7,771.39x = 11,658.24 × 2,773.37
  4. Step 4: Simplify right side
    7,771.39x = 32,332,642.21
  5. Step 5: Solve for x
    x = 32,332,642.21/7,771.39
  6. Step 6: Final answer
    x = 4,160.47

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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.