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Finding the Fourth Proportional to 2,012.84, 2,776.89 and 1,226.60

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Solution

The fourth proportional to 2,012.84, 2,776.89 and 1,226.60 is: 1,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.84 : 2,776.89 = 1,226.60 : x
  2. Step 2: Convert to fraction form
    2,012.84/2,776.89 = 1,226.60/x
  3. Step 3: Cross multiply
    2,012.84x = 2,776.89 × 1,226.60
  4. Step 4: Simplify right side
    2,012.84x = 3,406,133.27
  5. Step 5: Solve for x
    x = 3,406,133.27/2,012.84
  6. Step 6: Final answer
    x = 1,692.20

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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.