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Finding the Fourth Proportional to 8,102.94, 12,138.54 and 7,221.36

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Solution

The fourth proportional to 8,102.94, 12,138.54 and 7,221.36 is: 10,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.94 : 12,138.54 = 7,221.36 : x
  2. Step 2: Convert to fraction form
    8,102.94/12,138.54 = 7,221.36/x
  3. Step 3: Cross multiply
    8,102.94x = 12,138.54 × 7,221.36
  4. Step 4: Simplify right side
    8,102.94x = 87,656,767.21
  5. Step 5: Solve for x
    x = 87,656,767.21/8,102.94
  6. Step 6: Final answer
    x = 10,817.90

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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.