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Finding the Fourth Proportional to 7,983.50, 11,980.98 and 3,601.53

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Solution

The fourth proportional to 7,983.50, 11,980.98 and 3,601.53 is: 5,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.50 : 11,980.98 = 3,601.53 : x
  2. Step 2: Convert to fraction form
    7,983.50/11,980.98 = 3,601.53/x
  3. Step 3: Cross multiply
    7,983.50x = 11,980.98 × 3,601.53
  4. Step 4: Simplify right side
    7,983.50x = 43,149,858.90
  5. Step 5: Solve for x
    x = 43,149,858.90/7,983.50
  6. Step 6: Final answer
    x = 5,404.88

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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.