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Finding the Fourth Proportional to 2,072.88, 3,109.16 and 686.26

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Solution

The fourth proportional to 2,072.88, 3,109.16 and 686.26 is: 1,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 3,109.16 = 686.26 : x
  2. Step 2: Convert to fraction form
    2,072.88/3,109.16 = 686.26/x
  3. Step 3: Cross multiply
    2,072.88x = 3,109.16 × 686.26
  4. Step 4: Simplify right side
    2,072.88x = 2,133,692.14
  5. Step 5: Solve for x
    x = 2,133,692.14/2,072.88
  6. Step 6: Final answer
    x = 1,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.