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Finding the Fourth Proportional to 3,401, 4,692.96 and 1,985

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Solution

The fourth proportional to 3,401, 4,692.96 and 1,985 is: 2,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401 : 4,692.96 = 1,985 : x
  2. Step 2: Convert to fraction form
    3,401/4,692.96 = 1,985/x
  3. Step 3: Cross multiply
    3,401x = 4,692.96 × 1,985
  4. Step 4: Simplify right side
    3,401x = 9,315,525.60
  5. Step 5: Solve for x
    x = 9,315,525.60/3,401
  6. Step 6: Final answer
    x = 2,739.05

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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.