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Finding the Fourth Proportional to 8,102.83, 12,133.20 and 6,940.30

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Solution

The fourth proportional to 8,102.83, 12,133.20 and 6,940.30 is: 10,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.83 : 12,133.20 = 6,940.30 : x
  2. Step 2: Convert to fraction form
    8,102.83/12,133.20 = 6,940.30/x
  3. Step 3: Cross multiply
    8,102.83x = 12,133.20 × 6,940.30
  4. Step 4: Simplify right side
    8,102.83x = 84,208,047.96
  5. Step 5: Solve for x
    x = 84,208,047.96/8,102.83
  6. Step 6: Final answer
    x = 10,392.42

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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.