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Finding the Fourth Proportional to 3,400, 4,692 and 2,003.68

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Solution

The fourth proportional to 3,400, 4,692 and 2,003.68 is: 2,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 4,692 = 2,003.68 : x
  2. Step 2: Convert to fraction form
    3,400/4,692 = 2,003.68/x
  3. Step 3: Cross multiply
    3,400x = 4,692 × 2,003.68
  4. Step 4: Simplify right side
    3,400x = 9,401,266.56
  5. Step 5: Solve for x
    x = 9,401,266.56/3,400
  6. Step 6: Final answer
    x = 2,765.08

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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.