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Finding the Fourth Proportional to 3,812.82, 5,288.60 and 3,711.66

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Solution

The fourth proportional to 3,812.82, 5,288.60 and 3,711.66 is: 5,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.82 : 5,288.60 = 3,711.66 : x
  2. Step 2: Convert to fraction form
    3,812.82/5,288.60 = 3,711.66/x
  3. Step 3: Cross multiply
    3,812.82x = 5,288.60 × 3,711.66
  4. Step 4: Simplify right side
    3,812.82x = 19,629,485.08
  5. Step 5: Solve for x
    x = 19,629,485.08/3,812.82
  6. Step 6: Final answer
    x = 5,148.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.