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Finding the Fourth Proportional to 8,186, 12,277.74 and 2,342.84

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Solution

The fourth proportional to 8,186, 12,277.74 and 2,342.84 is: 3,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186 : 12,277.74 = 2,342.84 : x
  2. Step 2: Convert to fraction form
    8,186/12,277.74 = 2,342.84/x
  3. Step 3: Cross multiply
    8,186x = 12,277.74 × 2,342.84
  4. Step 4: Simplify right side
    8,186x = 28,764,780.38
  5. Step 5: Solve for x
    x = 28,764,780.38/8,186
  6. Step 6: Final answer
    x = 3,513.90

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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.