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Finding the Fourth Proportional to 8,238.28, 12,354.86 and 2,765

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Solution

The fourth proportional to 8,238.28, 12,354.86 and 2,765 is: 4,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.28 : 12,354.86 = 2,765 : x
  2. Step 2: Convert to fraction form
    8,238.28/12,354.86 = 2,765/x
  3. Step 3: Cross multiply
    8,238.28x = 12,354.86 × 2,765
  4. Step 4: Simplify right side
    8,238.28x = 34,161,187.90
  5. Step 5: Solve for x
    x = 34,161,187.90/8,238.28
  6. Step 6: Final answer
    x = 4,146.64

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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.