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Finding the Fourth Proportional to 7,856.78, 11,782.20 and 3,958.52

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Solution

The fourth proportional to 7,856.78, 11,782.20 and 3,958.52 is: 5,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.78 : 11,782.20 = 3,958.52 : x
  2. Step 2: Convert to fraction form
    7,856.78/11,782.20 = 3,958.52/x
  3. Step 3: Cross multiply
    7,856.78x = 11,782.20 × 3,958.52
  4. Step 4: Simplify right side
    7,856.78x = 46,640,074.34
  5. Step 5: Solve for x
    x = 46,640,074.34/7,856.78
  6. Step 6: Final answer
    x = 5,936.28

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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.