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Finding the Fourth Proportional to 2,808.94, 3,872.24 and 1,966.99

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Solution

The fourth proportional to 2,808.94, 3,872.24 and 1,966.99 is: 2,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.94 : 3,872.24 = 1,966.99 : x
  2. Step 2: Convert to fraction form
    2,808.94/3,872.24 = 1,966.99/x
  3. Step 3: Cross multiply
    2,808.94x = 3,872.24 × 1,966.99
  4. Step 4: Simplify right side
    2,808.94x = 7,616,647.52
  5. Step 5: Solve for x
    x = 7,616,647.52/2,808.94
  6. Step 6: Final answer
    x = 2,711.57

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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.