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Finding the Fourth Proportional to 7,996.50, 11,999.07 and 3,892.50

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Solution

The fourth proportional to 7,996.50, 11,999.07 and 3,892.50 is: 5,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.50 : 11,999.07 = 3,892.50 : x
  2. Step 2: Convert to fraction form
    7,996.50/11,999.07 = 3,892.50/x
  3. Step 3: Cross multiply
    7,996.50x = 11,999.07 × 3,892.50
  4. Step 4: Simplify right side
    7,996.50x = 46,706,379.98
  5. Step 5: Solve for x
    x = 46,706,379.98/7,996.50
  6. Step 6: Final answer
    x = 5,840.85

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1.5x scale

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.