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Finding the Fourth Proportional to 13,785.85, 20,645.46 and 7,844.73

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Solution

The fourth proportional to 13,785.85, 20,645.46 and 7,844.73 is: 11,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.85 : 20,645.46 = 7,844.73 : x
  2. Step 2: Convert to fraction form
    13,785.85/20,645.46 = 7,844.73/x
  3. Step 3: Cross multiply
    13,785.85x = 20,645.46 × 7,844.73
  4. Step 4: Simplify right side
    13,785.85x = 161,958,059.43
  5. Step 5: Solve for x
    x = 161,958,059.43/13,785.85
  6. Step 6: Final answer
    x = 11,748.14

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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.