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Finding the Fourth Proportional to 27,846.78, 41,772.06 and 9,121.88

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Solution

The fourth proportional to 27,846.78, 41,772.06 and 9,121.88 is: 13,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.78 : 41,772.06 = 9,121.88 : x
  2. Step 2: Convert to fraction form
    27,846.78/41,772.06 = 9,121.88/x
  3. Step 3: Cross multiply
    27,846.78x = 41,772.06 × 9,121.88
  4. Step 4: Simplify right side
    27,846.78x = 381,039,509.81
  5. Step 5: Solve for x
    x = 381,039,509.81/27,846.78
  6. Step 6: Final answer
    x = 13,683.43

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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.