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Finding the Fourth Proportional to 31,687.60, 43,723.98 and 18,259.48

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Solution

The fourth proportional to 31,687.60, 43,723.98 and 18,259.48 is: 25,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.60 : 43,723.98 = 18,259.48 : x
  2. Step 2: Convert to fraction form
    31,687.60/43,723.98 = 18,259.48/x
  3. Step 3: Cross multiply
    31,687.60x = 43,723.98 × 18,259.48
  4. Step 4: Simplify right side
    31,687.60x = 798,377,138.33
  5. Step 5: Solve for x
    x = 798,377,138.33/31,687.60
  6. Step 6: Final answer
    x = 25,195.25

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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.