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Finding the Fourth Proportional to 31,853.67, 43,951.62 and 18,420

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Solution

The fourth proportional to 31,853.67, 43,951.62 and 18,420 is: 25,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.67 : 43,951.62 = 18,420 : x
  2. Step 2: Convert to fraction form
    31,853.67/43,951.62 = 18,420/x
  3. Step 3: Cross multiply
    31,853.67x = 43,951.62 × 18,420
  4. Step 4: Simplify right side
    31,853.67x = 809,588,840.40
  5. Step 5: Solve for x
    x = 809,588,840.40/31,853.67
  6. Step 6: Final answer
    x = 25,415.87

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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.