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Finding the Fourth Proportional to 13,682.16, 20,525.58 and 4,917.96

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Solution

The fourth proportional to 13,682.16, 20,525.58 and 4,917.96 is: 7,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.16 : 20,525.58 = 4,917.96 : x
  2. Step 2: Convert to fraction form
    13,682.16/20,525.58 = 4,917.96/x
  3. Step 3: Cross multiply
    13,682.16x = 20,525.58 × 4,917.96
  4. Step 4: Simplify right side
    13,682.16x = 100,943,981.42
  5. Step 5: Solve for x
    x = 100,943,981.42/13,682.16
  6. Step 6: Final answer
    x = 7,377.78

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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.