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Finding the Fourth Proportional to 31,879.54, 47,824.50 and 9,687.73

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Solution

The fourth proportional to 31,879.54, 47,824.50 and 9,687.73 is: 14,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.54 : 47,824.50 = 9,687.73 : x
  2. Step 2: Convert to fraction form
    31,879.54/47,824.50 = 9,687.73/x
  3. Step 3: Cross multiply
    31,879.54x = 47,824.50 × 9,687.73
  4. Step 4: Simplify right side
    31,879.54x = 463,310,680.41
  5. Step 5: Solve for x
    x = 463,310,680.41/31,879.54
  6. Step 6: Final answer
    x = 14,533.17

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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.