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Finding the Fourth Proportional to 8,154.73, 12,231.82 and 2,607.99

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Solution

The fourth proportional to 8,154.73, 12,231.82 and 2,607.99 is: 3,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.73 : 12,231.82 = 2,607.99 : x
  2. Step 2: Convert to fraction form
    8,154.73/12,231.82 = 2,607.99/x
  3. Step 3: Cross multiply
    8,154.73x = 12,231.82 × 2,607.99
  4. Step 4: Simplify right side
    8,154.73x = 31,900,464.24
  5. Step 5: Solve for x
    x = 31,900,464.24/8,154.73
  6. Step 6: Final answer
    x = 3,911.90

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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.