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Finding the Fourth Proportional to 31,692, 43,720.96 and 20,357.84

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Solution

The fourth proportional to 31,692, 43,720.96 and 20,357.84 is: 28,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692 : 43,720.96 = 20,357.84 : x
  2. Step 2: Convert to fraction form
    31,692/43,720.96 = 20,357.84/x
  3. Step 3: Cross multiply
    31,692x = 43,720.96 × 20,357.84
  4. Step 4: Simplify right side
    31,692x = 890,064,308.33
  5. Step 5: Solve for x
    x = 890,064,308.33/31,692
  6. Step 6: Final answer
    x = 28,084.83

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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.