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Finding the Fourth Proportional to 31,784, 43,861.92 and 20,606

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Solution

The fourth proportional to 31,784, 43,861.92 and 20,606 is: 28,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784 : 43,861.92 = 20,606 : x
  2. Step 2: Convert to fraction form
    31,784/43,861.92 = 20,606/x
  3. Step 3: Cross multiply
    31,784x = 43,861.92 × 20,606
  4. Step 4: Simplify right side
    31,784x = 903,818,723.52
  5. Step 5: Solve for x
    x = 903,818,723.52/31,784
  6. Step 6: Final answer
    x = 28,436.28

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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.