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Finding the Fourth Proportional to 2,011.96, 2,777.10 and 1,226.39

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Solution

The fourth proportional to 2,011.96, 2,777.10 and 1,226.39 is: 1,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.96 : 2,777.10 = 1,226.39 : x
  2. Step 2: Convert to fraction form
    2,011.96/2,777.10 = 1,226.39/x
  3. Step 3: Cross multiply
    2,011.96x = 2,777.10 × 1,226.39
  4. Step 4: Simplify right side
    2,011.96x = 3,405,807.67
  5. Step 5: Solve for x
    x = 3,405,807.67/2,011.96
  6. Step 6: Final answer
    x = 1,692.78

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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.