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Finding the Fourth Proportional to 25,431, 38,157 and 13,730.44

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Solution

The fourth proportional to 25,431, 38,157 and 13,730.44 is: 20,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431 : 38,157 = 13,730.44 : x
  2. Step 2: Convert to fraction form
    25,431/38,157 = 13,730.44/x
  3. Step 3: Cross multiply
    25,431x = 38,157 × 13,730.44
  4. Step 4: Simplify right side
    25,431x = 523,912,399.08
  5. Step 5: Solve for x
    x = 523,912,399.08/25,431
  6. Step 6: Final answer
    x = 20,601.33

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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.