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Finding the Fourth Proportional to 3,122.56, 4,310.22 and 2,006.56

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Solution

The fourth proportional to 3,122.56, 4,310.22 and 2,006.56 is: 2,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.56 : 4,310.22 = 2,006.56 : x
  2. Step 2: Convert to fraction form
    3,122.56/4,310.22 = 2,006.56/x
  3. Step 3: Cross multiply
    3,122.56x = 4,310.22 × 2,006.56
  4. Step 4: Simplify right side
    3,122.56x = 8,648,715.04
  5. Step 5: Solve for x
    x = 8,648,715.04/3,122.56
  6. Step 6: Final answer
    x = 2,769.75

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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.