Home / 31,795.56-47,694.26-8,422

Finding the Fourth Proportional to 31,795.56, 47,694.26 and 8,422

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Solution

The fourth proportional to 31,795.56, 47,694.26 and 8,422 is: 12,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.56 : 47,694.26 = 8,422 : x
  2. Step 2: Convert to fraction form
    31,795.56/47,694.26 = 8,422/x
  3. Step 3: Cross multiply
    31,795.56x = 47,694.26 × 8,422
  4. Step 4: Simplify right side
    31,795.56x = 401,681,057.72
  5. Step 5: Solve for x
    x = 401,681,057.72/31,795.56
  6. Step 6: Final answer
    x = 12,633.24

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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.