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Finding the Fourth Proportional to 31,745.36, 47,584.44 and 11,742

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Solution

The fourth proportional to 31,745.36, 47,584.44 and 11,742 is: 17,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.36 : 47,584.44 = 11,742 : x
  2. Step 2: Convert to fraction form
    31,745.36/47,584.44 = 11,742/x
  3. Step 3: Cross multiply
    31,745.36x = 47,584.44 × 11,742
  4. Step 4: Simplify right side
    31,745.36x = 558,736,494.48
  5. Step 5: Solve for x
    x = 558,736,494.48/31,745.36
  6. Step 6: Final answer
    x = 17,600.57

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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.