Home / 2,811.75-3,882-2,516.49

Finding the Fourth Proportional to 2,811.75, 3,882 and 2,516.49

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Solution

The fourth proportional to 2,811.75, 3,882 and 2,516.49 is: 3,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.75 : 3,882 = 2,516.49 : x
  2. Step 2: Convert to fraction form
    2,811.75/3,882 = 2,516.49/x
  3. Step 3: Cross multiply
    2,811.75x = 3,882 × 2,516.49
  4. Step 4: Simplify right side
    2,811.75x = 9,769,014.18
  5. Step 5: Solve for x
    x = 9,769,014.18/2,811.75
  6. Step 6: Final answer
    x = 3,474.35

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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.