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Finding the Fourth Proportional to 8,102.88, 12,133.29 and 6,940.37

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Solution

The fourth proportional to 8,102.88, 12,133.29 and 6,940.37 is: 10,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.88 : 12,133.29 = 6,940.37 : x
  2. Step 2: Convert to fraction form
    8,102.88/12,133.29 = 6,940.37/x
  3. Step 3: Cross multiply
    8,102.88x = 12,133.29 × 6,940.37
  4. Step 4: Simplify right side
    8,102.88x = 84,209,461.25
  5. Step 5: Solve for x
    x = 84,209,461.25/8,102.88
  6. Step 6: Final answer
    x = 10,392.53

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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.