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Finding the Fourth Proportional to 31,709.88, 47,577.42 and 11,993.94

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Solution

The fourth proportional to 31,709.88, 47,577.42 and 11,993.94 is: 17,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.88 : 47,577.42 = 11,993.94 : x
  2. Step 2: Convert to fraction form
    31,709.88/47,577.42 = 11,993.94/x
  3. Step 3: Cross multiply
    31,709.88x = 47,577.42 × 11,993.94
  4. Step 4: Simplify right side
    31,709.88x = 570,640,720.83
  5. Step 5: Solve for x
    x = 570,640,720.83/31,709.88
  6. Step 6: Final answer
    x = 17,995.68

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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.