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Finding the Fourth Proportional to 7,791.59, 11,680.87 and 3,629.45

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Solution

The fourth proportional to 7,791.59, 11,680.87 and 3,629.45 is: 5,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.59 : 11,680.87 = 3,629.45 : x
  2. Step 2: Convert to fraction form
    7,791.59/11,680.87 = 3,629.45/x
  3. Step 3: Cross multiply
    7,791.59x = 11,680.87 × 3,629.45
  4. Step 4: Simplify right side
    7,791.59x = 42,395,153.75
  5. Step 5: Solve for x
    x = 42,395,153.75/7,791.59
  6. Step 6: Final answer
    x = 5,441.15

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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.