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Finding the Fourth Proportional to 13,911.46, 20,867.21 and 3,523.21

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Solution

The fourth proportional to 13,911.46, 20,867.21 and 3,523.21 is: 5,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.46 : 20,867.21 = 3,523.21 : x
  2. Step 2: Convert to fraction form
    13,911.46/20,867.21 = 3,523.21/x
  3. Step 3: Cross multiply
    13,911.46x = 20,867.21 × 3,523.21
  4. Step 4: Simplify right side
    13,911.46x = 73,519,562.94
  5. Step 5: Solve for x
    x = 73,519,562.94/13,911.46
  6. Step 6: Final answer
    x = 5,284.82

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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.