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Finding the Fourth Proportional to 8,102.94, 11,109.12 and 7,955.32

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Solution

The fourth proportional to 8,102.94, 11,109.12 and 7,955.32 is: 10,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.94 : 11,109.12 = 7,955.32 : x
  2. Step 2: Convert to fraction form
    8,102.94/11,109.12 = 7,955.32/x
  3. Step 3: Cross multiply
    8,102.94x = 11,109.12 × 7,955.32
  4. Step 4: Simplify right side
    8,102.94x = 88,376,604.52
  5. Step 5: Solve for x
    x = 88,376,604.52/8,102.94
  6. Step 6: Final answer
    x = 10,906.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.