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Finding the Fourth Proportional to 8,157.67, 12,227.91 and 3,778

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Solution

The fourth proportional to 8,157.67, 12,227.91 and 3,778 is: 5,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.67 : 12,227.91 = 3,778 : x
  2. Step 2: Convert to fraction form
    8,157.67/12,227.91 = 3,778/x
  3. Step 3: Cross multiply
    8,157.67x = 12,227.91 × 3,778
  4. Step 4: Simplify right side
    8,157.67x = 46,197,043.98
  5. Step 5: Solve for x
    x = 46,197,043.98/8,157.67
  6. Step 6: Final answer
    x = 5,663.02

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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.