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Finding the Fourth Proportional to 2,871, 3,960.09 and 2,072.99

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Solution

The fourth proportional to 2,871, 3,960.09 and 2,072.99 is: 2,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 3,960.09 = 2,072.99 : x
  2. Step 2: Convert to fraction form
    2,871/3,960.09 = 2,072.99/x
  3. Step 3: Cross multiply
    2,871x = 3,960.09 × 2,072.99
  4. Step 4: Simplify right side
    2,871x = 8,209,236.87
  5. Step 5: Solve for x
    x = 8,209,236.87/2,871
  6. Step 6: Final answer
    x = 2,859.36

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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.