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Finding the Fourth Proportional to 13,843.58, 20,768.09 and 5,078.57

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Solution

The fourth proportional to 13,843.58, 20,768.09 and 5,078.57 is: 7,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.58 : 20,768.09 = 5,078.57 : x
  2. Step 2: Convert to fraction form
    13,843.58/20,768.09 = 5,078.57/x
  3. Step 3: Cross multiply
    13,843.58x = 20,768.09 × 5,078.57
  4. Step 4: Simplify right side
    13,843.58x = 105,472,069.60
  5. Step 5: Solve for x
    x = 105,472,069.60/13,843.58
  6. Step 6: Final answer
    x = 7,618.85

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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.