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Finding the Fourth Proportional to 13,917.38, 20,823.75 and 9,765.48

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Solution

The fourth proportional to 13,917.38, 20,823.75 and 9,765.48 is: 14,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.38 : 20,823.75 = 9,765.48 : x
  2. Step 2: Convert to fraction form
    13,917.38/20,823.75 = 9,765.48/x
  3. Step 3: Cross multiply
    13,917.38x = 20,823.75 × 9,765.48
  4. Step 4: Simplify right side
    13,917.38x = 203,353,992.24
  5. Step 5: Solve for x
    x = 203,353,992.24/13,917.38
  6. Step 6: Final answer
    x = 14,611.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.