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Finding the Fourth Proportional to 12,103.74, 16,704.36 and 8,133.12

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Solution

The fourth proportional to 12,103.74, 16,704.36 and 8,133.12 is: 11,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.74 : 16,704.36 = 8,133.12 : x
  2. Step 2: Convert to fraction form
    12,103.74/16,704.36 = 8,133.12/x
  3. Step 3: Cross multiply
    12,103.74x = 16,704.36 × 8,133.12
  4. Step 4: Simplify right side
    12,103.74x = 135,858,564.40
  5. Step 5: Solve for x
    x = 135,858,564.40/12,103.74
  6. Step 6: Final answer
    x = 11,224.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.