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Finding the Fourth Proportional to 13,820.83, 20,734.82 and 3,960.83

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Solution

The fourth proportional to 13,820.83, 20,734.82 and 3,960.83 is: 5,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.83 : 20,734.82 = 3,960.83 : x
  2. Step 2: Convert to fraction form
    13,820.83/20,734.82 = 3,960.83/x
  3. Step 3: Cross multiply
    13,820.83x = 20,734.82 × 3,960.83
  4. Step 4: Simplify right side
    13,820.83x = 82,127,097.10
  5. Step 5: Solve for x
    x = 82,127,097.10/13,820.83
  6. Step 6: Final answer
    x = 5,942.27

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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.