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Finding the Fourth Proportional to 8,427.61, 12,636.15 and 3,747.43

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Solution

The fourth proportional to 8,427.61, 12,636.15 and 3,747.43 is: 5,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.61 : 12,636.15 = 3,747.43 : x
  2. Step 2: Convert to fraction form
    8,427.61/12,636.15 = 3,747.43/x
  3. Step 3: Cross multiply
    8,427.61x = 12,636.15 × 3,747.43
  4. Step 4: Simplify right side
    8,427.61x = 47,353,087.59
  5. Step 5: Solve for x
    x = 47,353,087.59/8,427.61
  6. Step 6: Final answer
    x = 5,618.80

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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.