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Finding the Fourth Proportional to 2,811.98, 3,880.95 and 2,725.94

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Solution

The fourth proportional to 2,811.98, 3,880.95 and 2,725.94 is: 3,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.98 : 3,880.95 = 2,725.94 : x
  2. Step 2: Convert to fraction form
    2,811.98/3,880.95 = 2,725.94/x
  3. Step 3: Cross multiply
    2,811.98x = 3,880.95 × 2,725.94
  4. Step 4: Simplify right side
    2,811.98x = 10,579,236.84
  5. Step 5: Solve for x
    x = 10,579,236.84/2,811.98
  6. Step 6: Final answer
    x = 3,762.20

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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.