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Finding the Fourth Proportional to 13,808.64, 20,709.48 and 3,947.97

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Solution

The fourth proportional to 13,808.64, 20,709.48 and 3,947.97 is: 5,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.64 : 20,709.48 = 3,947.97 : x
  2. Step 2: Convert to fraction form
    13,808.64/20,709.48 = 3,947.97/x
  3. Step 3: Cross multiply
    13,808.64x = 20,709.48 × 3,947.97
  4. Step 4: Simplify right side
    13,808.64x = 81,760,405.76
  5. Step 5: Solve for x
    x = 81,760,405.76/13,808.64
  6. Step 6: Final answer
    x = 5,920.96

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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.