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Finding the Fourth Proportional to 8,186.76, 12,281.90 and 2,992.50

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Solution

The fourth proportional to 8,186.76, 12,281.90 and 2,992.50 is: 4,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.76 : 12,281.90 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    8,186.76/12,281.90 = 2,992.50/x
  3. Step 3: Cross multiply
    8,186.76x = 12,281.90 × 2,992.50
  4. Step 4: Simplify right side
    8,186.76x = 36,753,570.79
  5. Step 5: Solve for x
    x = 36,753,570.79/8,186.76
  6. Step 6: Final answer
    x = 4,489.39

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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.