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Finding the Fourth Proportional to 2,811.06, 4,217.40 and 2,082.06

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Solution

The fourth proportional to 2,811.06, 4,217.40 and 2,082.06 is: 3,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.06 : 4,217.40 = 2,082.06 : x
  2. Step 2: Convert to fraction form
    2,811.06/4,217.40 = 2,082.06/x
  3. Step 3: Cross multiply
    2,811.06x = 4,217.40 × 2,082.06
  4. Step 4: Simplify right side
    2,811.06x = 8,780,879.84
  5. Step 5: Solve for x
    x = 8,780,879.84/2,811.06
  6. Step 6: Final answer
    x = 3,123.69

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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.