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Finding the Fourth Proportional to 2,069.66, 3,105.12 and 836.84

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Solution

The fourth proportional to 2,069.66, 3,105.12 and 836.84 is: 1,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.66 : 3,105.12 = 836.84 : x
  2. Step 2: Convert to fraction form
    2,069.66/3,105.12 = 836.84/x
  3. Step 3: Cross multiply
    2,069.66x = 3,105.12 × 836.84
  4. Step 4: Simplify right side
    2,069.66x = 2,598,488.62
  5. Step 5: Solve for x
    x = 2,598,488.62/2,069.66
  6. Step 6: Final answer
    x = 1,255.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.