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Finding the Fourth Proportional to 13,956.71, 20,906.78 and 6,449.60

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Solution

The fourth proportional to 13,956.71, 20,906.78 and 6,449.60 is: 9,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.71 : 20,906.78 = 6,449.60 : x
  2. Step 2: Convert to fraction form
    13,956.71/20,906.78 = 6,449.60/x
  3. Step 3: Cross multiply
    13,956.71x = 20,906.78 × 6,449.60
  4. Step 4: Simplify right side
    13,956.71x = 134,840,368.29
  5. Step 5: Solve for x
    x = 134,840,368.29/13,956.71
  6. Step 6: Final answer
    x = 9,661.33

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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.