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Finding the Fourth Proportional to 5,678, 7,835.76 and 3,194

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Solution

The fourth proportional to 5,678, 7,835.76 and 3,194 is: 4,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 7,835.76 = 3,194 : x
  2. Step 2: Convert to fraction form
    5,678/7,835.76 = 3,194/x
  3. Step 3: Cross multiply
    5,678x = 7,835.76 × 3,194
  4. Step 4: Simplify right side
    5,678x = 25,027,417.44
  5. Step 5: Solve for x
    x = 25,027,417.44/5,678
  6. Step 6: Final answer
    x = 4,407.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.