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Finding the Fourth Proportional to 13,544.15, 20,297.77 and 8,281

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Solution

The fourth proportional to 13,544.15, 20,297.77 and 8,281 is: 12,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.15 : 20,297.77 = 8,281 : x
  2. Step 2: Convert to fraction form
    13,544.15/20,297.77 = 8,281/x
  3. Step 3: Cross multiply
    13,544.15x = 20,297.77 × 8,281
  4. Step 4: Simplify right side
    13,544.15x = 168,085,833.37
  5. Step 5: Solve for x
    x = 168,085,833.37/13,544.15
  6. Step 6: Final answer
    x = 12,410.22

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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.