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Finding the Fourth Proportional to 7,876.03, 11,815.24 and 2,680.69

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Solution

The fourth proportional to 7,876.03, 11,815.24 and 2,680.69 is: 4,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.03 : 11,815.24 = 2,680.69 : x
  2. Step 2: Convert to fraction form
    7,876.03/11,815.24 = 2,680.69/x
  3. Step 3: Cross multiply
    7,876.03x = 11,815.24 × 2,680.69
  4. Step 4: Simplify right side
    7,876.03x = 31,672,995.72
  5. Step 5: Solve for x
    x = 31,672,995.72/7,876.03
  6. Step 6: Final answer
    x = 4,021.44

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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.