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Finding the Fourth Proportional to 27,406.80, 41,085 and 9,872.34

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Solution

The fourth proportional to 27,406.80, 41,085 and 9,872.34 is: 14,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.80 : 41,085 = 9,872.34 : x
  2. Step 2: Convert to fraction form
    27,406.80/41,085 = 9,872.34/x
  3. Step 3: Cross multiply
    27,406.80x = 41,085 × 9,872.34
  4. Step 4: Simplify right side
    27,406.80x = 405,605,088.90
  5. Step 5: Solve for x
    x = 405,605,088.90/27,406.80
  6. Step 6: Final answer
    x = 14,799.43

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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.