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Finding the Fourth Proportional to 13,917.15, 20,871.68 and 7,680.15

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Solution

The fourth proportional to 13,917.15, 20,871.68 and 7,680.15 is: 11,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.15 : 20,871.68 = 7,680.15 : x
  2. Step 2: Convert to fraction form
    13,917.15/20,871.68 = 7,680.15/x
  3. Step 3: Cross multiply
    13,917.15x = 20,871.68 × 7,680.15
  4. Step 4: Simplify right side
    13,917.15x = 160,297,594.75
  5. Step 5: Solve for x
    x = 160,297,594.75/13,917.15
  6. Step 6: Final answer
    x = 11,517.99

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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.