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Finding the Fourth Proportional to 38,584.80, 57,790.80 and 31,672.80

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Solution

The fourth proportional to 38,584.80, 57,790.80 and 31,672.80 is: 47,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584.80 : 57,790.80 = 31,672.80 : x
  2. Step 2: Convert to fraction form
    38,584.80/57,790.80 = 31,672.80/x
  3. Step 3: Cross multiply
    38,584.80x = 57,790.80 × 31,672.80
  4. Step 4: Simplify right side
    38,584.80x = 1,830,396,450.24
  5. Step 5: Solve for x
    x = 1,830,396,450.24/38,584.80
  6. Step 6: Final answer
    x = 47,438.28

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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.