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Finding the Fourth Proportional to 31,686, 43,722.63 and 18,257.82

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Solution

The fourth proportional to 31,686, 43,722.63 and 18,257.82 is: 25,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686 : 43,722.63 = 18,257.82 : x
  2. Step 2: Convert to fraction form
    31,686/43,722.63 = 18,257.82/x
  3. Step 3: Cross multiply
    31,686x = 43,722.63 × 18,257.82
  4. Step 4: Simplify right side
    31,686x = 798,279,908.47
  5. Step 5: Solve for x
    x = 798,279,908.47/31,686
  6. Step 6: Final answer
    x = 25,193.46

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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.