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Finding the Fourth Proportional to 2,170.75, 2,995.81 and 1,226.49

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Solution

The fourth proportional to 2,170.75, 2,995.81 and 1,226.49 is: 1,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.75 : 2,995.81 = 1,226.49 : x
  2. Step 2: Convert to fraction form
    2,170.75/2,995.81 = 1,226.49/x
  3. Step 3: Cross multiply
    2,170.75x = 2,995.81 × 1,226.49
  4. Step 4: Simplify right side
    2,170.75x = 3,674,331.01
  5. Step 5: Solve for x
    x = 3,674,331.01/2,170.75
  6. Step 6: Final answer
    x = 1,692.66

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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.