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Finding the Fourth Proportional to 13,850.73, 20,742.93 and 7,989.57

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Solution

The fourth proportional to 13,850.73, 20,742.93 and 7,989.57 is: 11,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.73 : 20,742.93 = 7,989.57 : x
  2. Step 2: Convert to fraction form
    13,850.73/20,742.93 = 7,989.57/x
  3. Step 3: Cross multiply
    13,850.73x = 20,742.93 × 7,989.57
  4. Step 4: Simplify right side
    13,850.73x = 165,727,091.24
  5. Step 5: Solve for x
    x = 165,727,091.24/13,850.73
  6. Step 6: Final answer
    x = 11,965.22

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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.