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Finding the Fourth Proportional to 13,747, 20,620.68 and 3,886.44

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Solution

The fourth proportional to 13,747, 20,620.68 and 3,886.44 is: 5,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747 : 20,620.68 = 3,886.44 : x
  2. Step 2: Convert to fraction form
    13,747/20,620.68 = 3,886.44/x
  3. Step 3: Cross multiply
    13,747x = 20,620.68 × 3,886.44
  4. Step 4: Simplify right side
    13,747x = 80,141,035.58
  5. Step 5: Solve for x
    x = 80,141,035.58/13,747
  6. Step 6: Final answer
    x = 5,829.71

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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.