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Finding the Fourth Proportional to 20,251.94, 30,375.77 and 5,459.94

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Solution

The fourth proportional to 20,251.94, 30,375.77 and 5,459.94 is: 8,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.94 : 30,375.77 = 5,459.94 : x
  2. Step 2: Convert to fraction form
    20,251.94/30,375.77 = 5,459.94/x
  3. Step 3: Cross multiply
    20,251.94x = 30,375.77 × 5,459.94
  4. Step 4: Simplify right side
    20,251.94x = 165,849,854.35
  5. Step 5: Solve for x
    x = 165,849,854.35/20,251.94
  6. Step 6: Final answer
    x = 8,189.33

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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.