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Finding the Fourth Proportional to 38,584.62, 57,883.86 and 13,639.23

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Solution

The fourth proportional to 38,584.62, 57,883.86 and 13,639.23 is: 20,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584.62 : 57,883.86 = 13,639.23 : x
  2. Step 2: Convert to fraction form
    38,584.62/57,883.86 = 13,639.23/x
  3. Step 3: Cross multiply
    38,584.62x = 57,883.86 × 13,639.23
  4. Step 4: Simplify right side
    38,584.62x = 789,491,279.83
  5. Step 5: Solve for x
    x = 789,491,279.83/38,584.62
  6. Step 6: Final answer
    x = 20,461.29

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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.