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Finding the Fourth Proportional to 6,871.80, 10,308.26 and 1,941.49

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Solution

The fourth proportional to 6,871.80, 10,308.26 and 1,941.49 is: 2,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.80 : 10,308.26 = 1,941.49 : x
  2. Step 2: Convert to fraction form
    6,871.80/10,308.26 = 1,941.49/x
  3. Step 3: Cross multiply
    6,871.80x = 10,308.26 × 1,941.49
  4. Step 4: Simplify right side
    6,871.80x = 20,013,401.45
  5. Step 5: Solve for x
    x = 20,013,401.45/6,871.80
  6. Step 6: Final answer
    x = 2,912.39

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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.