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Finding the Fourth Proportional to 13,611.17, 20,422 and 5,297.05

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Solution

The fourth proportional to 13,611.17, 20,422 and 5,297.05 is: 7,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.17 : 20,422 = 5,297.05 : x
  2. Step 2: Convert to fraction form
    13,611.17/20,422 = 5,297.05/x
  3. Step 3: Cross multiply
    13,611.17x = 20,422 × 5,297.05
  4. Step 4: Simplify right side
    13,611.17x = 108,176,252.99
  5. Step 5: Solve for x
    x = 108,176,252.99/13,611.17
  6. Step 6: Final answer
    x = 7,947.61

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1.5x scale

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.