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Finding the Fourth Proportional to 13,874.28, 20,774.28 and 7,286.64

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Solution

The fourth proportional to 13,874.28, 20,774.28 and 7,286.64 is: 10,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.28 : 20,774.28 = 7,286.64 : x
  2. Step 2: Convert to fraction form
    13,874.28/20,774.28 = 7,286.64/x
  3. Step 3: Cross multiply
    13,874.28x = 20,774.28 × 7,286.64
  4. Step 4: Simplify right side
    13,874.28x = 151,374,699.62
  5. Step 5: Solve for x
    x = 151,374,699.62/13,874.28
  6. Step 6: Final answer
    x = 10,910.45

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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.