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Finding the Fourth Proportional to 3,399.93, 4,692.14 and 1,983.96

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Solution

The fourth proportional to 3,399.93, 4,692.14 and 1,983.96 is: 2,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.93 : 4,692.14 = 1,983.96 : x
  2. Step 2: Convert to fraction form
    3,399.93/4,692.14 = 1,983.96/x
  3. Step 3: Cross multiply
    3,399.93x = 4,692.14 × 1,983.96
  4. Step 4: Simplify right side
    3,399.93x = 9,309,018.07
  5. Step 5: Solve for x
    x = 9,309,018.07/3,399.93
  6. Step 6: Final answer
    x = 2,738.00

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1.5x scale

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.