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Finding the Fourth Proportional to 8,658, 12,992.76 and 3,186

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Solution

The fourth proportional to 8,658, 12,992.76 and 3,186 is: 4,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658 : 12,992.76 = 3,186 : x
  2. Step 2: Convert to fraction form
    8,658/12,992.76 = 3,186/x
  3. Step 3: Cross multiply
    8,658x = 12,992.76 × 3,186
  4. Step 4: Simplify right side
    8,658x = 41,394,933.36
  5. Step 5: Solve for x
    x = 41,394,933.36/8,658
  6. Step 6: Final answer
    x = 4,781.12

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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.