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Finding the Fourth Proportional to 31,745.76, 47,619.04 and 21,882.39

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Solution

The fourth proportional to 31,745.76, 47,619.04 and 21,882.39 is: 32,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.76 : 47,619.04 = 21,882.39 : x
  2. Step 2: Convert to fraction form
    31,745.76/47,619.04 = 21,882.39/x
  3. Step 3: Cross multiply
    31,745.76x = 47,619.04 × 21,882.39
  4. Step 4: Simplify right side
    31,745.76x = 1,042,018,212.46
  5. Step 5: Solve for x
    x = 1,042,018,212.46/31,745.76
  6. Step 6: Final answer
    x = 32,823.86

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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.