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Finding the Fourth Proportional to 9,100.28, 12,520.83 and 7,107.38

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Solution

The fourth proportional to 9,100.28, 12,520.83 and 7,107.38 is: 9,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.28 : 12,520.83 = 7,107.38 : x
  2. Step 2: Convert to fraction form
    9,100.28/12,520.83 = 7,107.38/x
  3. Step 3: Cross multiply
    9,100.28x = 12,520.83 × 7,107.38
  4. Step 4: Simplify right side
    9,100.28x = 88,990,267.75
  5. Step 5: Solve for x
    x = 88,990,267.75/9,100.28
  6. Step 6: Final answer
    x = 9,778.85

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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.