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Finding the Fourth Proportional to 3,994, 5,513.16 and 2,338

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Solution

The fourth proportional to 3,994, 5,513.16 and 2,338 is: 3,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994 : 5,513.16 = 2,338 : x
  2. Step 2: Convert to fraction form
    3,994/5,513.16 = 2,338/x
  3. Step 3: Cross multiply
    3,994x = 5,513.16 × 2,338
  4. Step 4: Simplify right side
    3,994x = 12,889,768.08
  5. Step 5: Solve for x
    x = 12,889,768.08/3,994
  6. Step 6: Final answer
    x = 3,227.28

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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.