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Finding the Fourth Proportional to 2,313.98, 3,469.14 and 1,338.98

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Solution

The fourth proportional to 2,313.98, 3,469.14 and 1,338.98 is: 2,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.98 : 3,469.14 = 1,338.98 : x
  2. Step 2: Convert to fraction form
    2,313.98/3,469.14 = 1,338.98/x
  3. Step 3: Cross multiply
    2,313.98x = 3,469.14 × 1,338.98
  4. Step 4: Simplify right side
    2,313.98x = 4,645,109.08
  5. Step 5: Solve for x
    x = 4,645,109.08/2,313.98
  6. Step 6: Final answer
    x = 2,007.41

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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.