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Finding the Fourth Proportional to 27,080, 40,623.89 and 8,361.64

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Solution

The fourth proportional to 27,080, 40,623.89 and 8,361.64 is: 12,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080 : 40,623.89 = 8,361.64 : x
  2. Step 2: Convert to fraction form
    27,080/40,623.89 = 8,361.64/x
  3. Step 3: Cross multiply
    27,080x = 40,623.89 × 8,361.64
  4. Step 4: Simplify right side
    27,080x = 339,682,098.65
  5. Step 5: Solve for x
    x = 339,682,098.65/27,080
  6. Step 6: Final answer
    x = 12,543.65

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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.