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Finding the Fourth Proportional to 7,896.60, 11,829.30 and 4,003.80

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Solution

The fourth proportional to 7,896.60, 11,829.30 and 4,003.80 is: 5,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.60 : 11,829.30 = 4,003.80 : x
  2. Step 2: Convert to fraction form
    7,896.60/11,829.30 = 4,003.80/x
  3. Step 3: Cross multiply
    7,896.60x = 11,829.30 × 4,003.80
  4. Step 4: Simplify right side
    7,896.60x = 47,362,151.34
  5. Step 5: Solve for x
    x = 47,362,151.34/7,896.60
  6. Step 6: Final answer
    x = 5,997.79

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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.