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Finding the Fourth Proportional to 8,187.66, 12,282.69 and 2,992.32

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Solution

The fourth proportional to 8,187.66, 12,282.69 and 2,992.32 is: 4,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.66 : 12,282.69 = 2,992.32 : x
  2. Step 2: Convert to fraction form
    8,187.66/12,282.69 = 2,992.32/x
  3. Step 3: Cross multiply
    8,187.66x = 12,282.69 × 2,992.32
  4. Step 4: Simplify right side
    8,187.66x = 36,753,738.94
  5. Step 5: Solve for x
    x = 36,753,738.94/8,187.66
  6. Step 6: Final answer
    x = 4,488.92

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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.