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Finding the Fourth Proportional to 12,442.70, 18,634.43 and 6,811.99

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Solution

The fourth proportional to 12,442.70, 18,634.43 and 6,811.99 is: 10,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.70 : 18,634.43 = 6,811.99 : x
  2. Step 2: Convert to fraction form
    12,442.70/18,634.43 = 6,811.99/x
  3. Step 3: Cross multiply
    12,442.70x = 18,634.43 × 6,811.99
  4. Step 4: Simplify right side
    12,442.70x = 126,937,550.82
  5. Step 5: Solve for x
    x = 126,937,550.82/12,442.70
  6. Step 6: Final answer
    x = 10,201.77

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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.