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Finding the Fourth Proportional to 13,963.96, 20,954.22 and 5,205.16

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Solution

The fourth proportional to 13,963.96, 20,954.22 and 5,205.16 is: 7,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.96 : 20,954.22 = 5,205.16 : x
  2. Step 2: Convert to fraction form
    13,963.96/20,954.22 = 5,205.16/x
  3. Step 3: Cross multiply
    13,963.96x = 20,954.22 × 5,205.16
  4. Step 4: Simplify right side
    13,963.96x = 109,070,067.78
  5. Step 5: Solve for x
    x = 109,070,067.78/13,963.96
  6. Step 6: Final answer
    x = 7,810.83

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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.