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Finding the Fourth Proportional to 20,394, 28,143.77 and 11,901.96

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Solution

The fourth proportional to 20,394, 28,143.77 and 11,901.96 is: 16,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 28,143.77 = 11,901.96 : x
  2. Step 2: Convert to fraction form
    20,394/28,143.77 = 11,901.96/x
  3. Step 3: Cross multiply
    20,394x = 28,143.77 × 11,901.96
  4. Step 4: Simplify right side
    20,394x = 334,965,965.28
  5. Step 5: Solve for x
    x = 334,965,965.28/20,394
  6. Step 6: Final answer
    x = 16,424.73

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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.