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Finding the Fourth Proportional to 20,173, 30,194.80 and 10,789.56

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Solution

The fourth proportional to 20,173, 30,194.80 and 10,789.56 is: 16,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 30,194.80 = 10,789.56 : x
  2. Step 2: Convert to fraction form
    20,173/30,194.80 = 10,789.56/x
  3. Step 3: Cross multiply
    20,173x = 30,194.80 × 10,789.56
  4. Step 4: Simplify right side
    20,173x = 325,788,606.29
  5. Step 5: Solve for x
    x = 325,788,606.29/20,173
  6. Step 6: Final answer
    x = 16,149.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.