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Finding the Fourth Proportional to 2,771.70, 3,817.17 and 2,711.22

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Solution

The fourth proportional to 2,771.70, 3,817.17 and 2,711.22 is: 3,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.70 : 3,817.17 = 2,711.22 : x
  2. Step 2: Convert to fraction form
    2,771.70/3,817.17 = 2,711.22/x
  3. Step 3: Cross multiply
    2,771.70x = 3,817.17 × 2,711.22
  4. Step 4: Simplify right side
    2,771.70x = 10,349,187.65
  5. Step 5: Solve for x
    x = 10,349,187.65/2,771.70
  6. Step 6: Final answer
    x = 3,733.88

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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.