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Finding the Fourth Proportional to 8,602.74, 12,896.82 and 3,405.78

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Solution

The fourth proportional to 8,602.74, 12,896.82 and 3,405.78 is: 5,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.74 : 12,896.82 = 3,405.78 : x
  2. Step 2: Convert to fraction form
    8,602.74/12,896.82 = 3,405.78/x
  3. Step 3: Cross multiply
    8,602.74x = 12,896.82 × 3,405.78
  4. Step 4: Simplify right side
    8,602.74x = 43,923,731.62
  5. Step 5: Solve for x
    x = 43,923,731.62/8,602.74
  6. Step 6: Final answer
    x = 5,105.78

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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.