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Finding the Fourth Proportional to 7,876.49, 11,811.12 and 3,433.97

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Solution

The fourth proportional to 7,876.49, 11,811.12 and 3,433.97 is: 5,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.49 : 11,811.12 = 3,433.97 : x
  2. Step 2: Convert to fraction form
    7,876.49/11,811.12 = 3,433.97/x
  3. Step 3: Cross multiply
    7,876.49x = 11,811.12 × 3,433.97
  4. Step 4: Simplify right side
    7,876.49x = 40,558,972.69
  5. Step 5: Solve for x
    x = 40,558,972.69/7,876.49
  6. Step 6: Final answer
    x = 5,149.37

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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.