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Finding the Fourth Proportional to 3,338.70, 5,007.60 and 1,147.38

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Solution

The fourth proportional to 3,338.70, 5,007.60 and 1,147.38 is: 1,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.70 : 5,007.60 = 1,147.38 : x
  2. Step 2: Convert to fraction form
    3,338.70/5,007.60 = 1,147.38/x
  3. Step 3: Cross multiply
    3,338.70x = 5,007.60 × 1,147.38
  4. Step 4: Simplify right side
    3,338.70x = 5,745,620.09
  5. Step 5: Solve for x
    x = 5,745,620.09/3,338.70
  6. Step 6: Final answer
    x = 1,720.92

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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.