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Finding the Fourth Proportional to 20,900.82, 28,842.03 and 11,947.14

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Solution

The fourth proportional to 20,900.82, 28,842.03 and 11,947.14 is: 16,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.82 : 28,842.03 = 11,947.14 : x
  2. Step 2: Convert to fraction form
    20,900.82/28,842.03 = 11,947.14/x
  3. Step 3: Cross multiply
    20,900.82x = 28,842.03 × 11,947.14
  4. Step 4: Simplify right side
    20,900.82x = 344,579,770.29
  5. Step 5: Solve for x
    x = 344,579,770.29/20,900.82
  6. Step 6: Final answer
    x = 16,486.42

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1.5x scale

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.