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Finding the Fourth Proportional to 27,175.80, 40,731.30 and 11,380.80

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Solution

The fourth proportional to 27,175.80, 40,731.30 and 11,380.80 is: 17,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.80 : 40,731.30 = 11,380.80 : x
  2. Step 2: Convert to fraction form
    27,175.80/40,731.30 = 11,380.80/x
  3. Step 3: Cross multiply
    27,175.80x = 40,731.30 × 11,380.80
  4. Step 4: Simplify right side
    27,175.80x = 463,554,779.04
  5. Step 5: Solve for x
    x = 463,554,779.04/27,175.80
  6. Step 6: Final answer
    x = 17,057.63

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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.