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Finding the Fourth Proportional to 7,943, 11,906.19 and 2,676.19

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Solution

The fourth proportional to 7,943, 11,906.19 and 2,676.19 is: 4,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943 : 11,906.19 = 2,676.19 : x
  2. Step 2: Convert to fraction form
    7,943/11,906.19 = 2,676.19/x
  3. Step 3: Cross multiply
    7,943x = 11,906.19 × 2,676.19
  4. Step 4: Simplify right side
    7,943x = 31,863,213.24
  5. Step 5: Solve for x
    x = 31,863,213.24/7,943
  6. Step 6: Final answer
    x = 4,011.48

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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.