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Finding the Fourth Proportional to 2,401, 3,313.38 and 1,297

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Solution

The fourth proportional to 2,401, 3,313.38 and 1,297 is: 1,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401 : 3,313.38 = 1,297 : x
  2. Step 2: Convert to fraction form
    2,401/3,313.38 = 1,297/x
  3. Step 3: Cross multiply
    2,401x = 3,313.38 × 1,297
  4. Step 4: Simplify right side
    2,401x = 4,297,453.86
  5. Step 5: Solve for x
    x = 4,297,453.86/2,401
  6. Step 6: Final answer
    x = 1,789.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.