Home / 31,833.28-47,736.78-13,822.68

Finding the Fourth Proportional to 31,833.28, 47,736.78 and 13,822.68

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Solution

The fourth proportional to 31,833.28, 47,736.78 and 13,822.68 is: 20,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.28 : 47,736.78 = 13,822.68 : x
  2. Step 2: Convert to fraction form
    31,833.28/47,736.78 = 13,822.68/x
  3. Step 3: Cross multiply
    31,833.28x = 47,736.78 × 13,822.68
  4. Step 4: Simplify right side
    31,833.28x = 659,850,234.17
  5. Step 5: Solve for x
    x = 659,850,234.17/31,833.28
  6. Step 6: Final answer
    x = 20,728.31

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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.