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Finding the Fourth Proportional to 26,576.78, 39,872.06 and 7,856.06

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Solution

The fourth proportional to 26,576.78, 39,872.06 and 7,856.06 is: 11,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576.78 : 39,872.06 = 7,856.06 : x
  2. Step 2: Convert to fraction form
    26,576.78/39,872.06 = 7,856.06/x
  3. Step 3: Cross multiply
    26,576.78x = 39,872.06 × 7,856.06
  4. Step 4: Simplify right side
    26,576.78x = 313,237,295.68
  5. Step 5: Solve for x
    x = 313,237,295.68/26,576.78
  6. Step 6: Final answer
    x = 11,786.13

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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.