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Finding the Fourth Proportional to 13,874.64, 20,814.12 and 6,376.56

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Solution

The fourth proportional to 13,874.64, 20,814.12 and 6,376.56 is: 9,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.64 : 20,814.12 = 6,376.56 : x
  2. Step 2: Convert to fraction form
    13,874.64/20,814.12 = 6,376.56/x
  3. Step 3: Cross multiply
    13,874.64x = 20,814.12 × 6,376.56
  4. Step 4: Simplify right side
    13,874.64x = 132,722,485.03
  5. Step 5: Solve for x
    x = 132,722,485.03/13,874.64
  6. Step 6: Final answer
    x = 9,565.83

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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.