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Finding the Fourth Proportional to 2,170.77, 2,994.94 and 1,226.44

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Solution

The fourth proportional to 2,170.77, 2,994.94 and 1,226.44 is: 1,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.77 : 2,994.94 = 1,226.44 : x
  2. Step 2: Convert to fraction form
    2,170.77/2,994.94 = 1,226.44/x
  3. Step 3: Cross multiply
    2,170.77x = 2,994.94 × 1,226.44
  4. Step 4: Simplify right side
    2,170.77x = 3,673,119.49
  5. Step 5: Solve for x
    x = 3,673,119.49/2,170.77
  6. Step 6: Final answer
    x = 1,692.08

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Double scale
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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.