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Finding the Fourth Proportional to 31,714, 43,648.80 and 27,186.91

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Solution

The fourth proportional to 31,714, 43,648.80 and 27,186.91 is: 37,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714 : 43,648.80 = 27,186.91 : x
  2. Step 2: Convert to fraction form
    31,714/43,648.80 = 27,186.91/x
  3. Step 3: Cross multiply
    31,714x = 43,648.80 × 27,186.91
  4. Step 4: Simplify right side
    31,714x = 1,186,675,997.21
  5. Step 5: Solve for x
    x = 1,186,675,997.21/31,714
  6. Step 6: Final answer
    x = 37,418.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.