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Finding the Fourth Proportional to 2,106.56, 2,906.12 and 1,266.99

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Solution

The fourth proportional to 2,106.56, 2,906.12 and 1,266.99 is: 1,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.56 : 2,906.12 = 1,266.99 : x
  2. Step 2: Convert to fraction form
    2,106.56/2,906.12 = 1,266.99/x
  3. Step 3: Cross multiply
    2,106.56x = 2,906.12 × 1,266.99
  4. Step 4: Simplify right side
    2,106.56x = 3,682,018.64
  5. Step 5: Solve for x
    x = 3,682,018.64/2,106.56
  6. Step 6: Final answer
    x = 1,747.89

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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.