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Finding the Fourth Proportional to 25,435, 38,163 and 13,734.44

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Solution

The fourth proportional to 25,435, 38,163 and 13,734.44 is: 20,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435 : 38,163 = 13,734.44 : x
  2. Step 2: Convert to fraction form
    25,435/38,163 = 13,734.44/x
  3. Step 3: Cross multiply
    25,435x = 38,163 × 13,734.44
  4. Step 4: Simplify right side
    25,435x = 524,147,433.72
  5. Step 5: Solve for x
    x = 524,147,433.72/25,435
  6. Step 6: Final answer
    x = 20,607.33

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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.