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Finding the Fourth Proportional to 14,765.38, 20,376.60 and 9,103.86

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Solution

The fourth proportional to 14,765.38, 20,376.60 and 9,103.86 is: 12,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.38 : 20,376.60 = 9,103.86 : x
  2. Step 2: Convert to fraction form
    14,765.38/20,376.60 = 9,103.86/x
  3. Step 3: Cross multiply
    14,765.38x = 20,376.60 × 9,103.86
  4. Step 4: Simplify right side
    14,765.38x = 185,505,713.68
  5. Step 5: Solve for x
    x = 185,505,713.68/14,765.38
  6. Step 6: Final answer
    x = 12,563.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.