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Finding the Fourth Proportional to 31,795.69, 47,694.44 and 8,422.13

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Solution

The fourth proportional to 31,795.69, 47,694.44 and 8,422.13 is: 12,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.69 : 47,694.44 = 8,422.13 : x
  2. Step 2: Convert to fraction form
    31,795.69/47,694.44 = 8,422.13/x
  3. Step 3: Cross multiply
    31,795.69x = 47,694.44 × 8,422.13
  4. Step 4: Simplify right side
    31,795.69x = 401,688,773.96
  5. Step 5: Solve for x
    x = 401,688,773.96/31,795.69
  6. Step 6: Final answer
    x = 12,633.43

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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.