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Finding the Fourth Proportional to 11,550.78, 17,326 and 2,785.61

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Solution

The fourth proportional to 11,550.78, 17,326 and 2,785.61 is: 4,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.78 : 17,326 = 2,785.61 : x
  2. Step 2: Convert to fraction form
    11,550.78/17,326 = 2,785.61/x
  3. Step 3: Cross multiply
    11,550.78x = 17,326 × 2,785.61
  4. Step 4: Simplify right side
    11,550.78x = 48,263,478.86
  5. Step 5: Solve for x
    x = 48,263,478.86/11,550.78
  6. Step 6: Final answer
    x = 4,178.37

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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.