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Finding the Fourth Proportional to 25,622, 38,399.52 and 13,131.44

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Solution

The fourth proportional to 25,622, 38,399.52 and 13,131.44 is: 19,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622 : 38,399.52 = 13,131.44 : x
  2. Step 2: Convert to fraction form
    25,622/38,399.52 = 13,131.44/x
  3. Step 3: Cross multiply
    25,622x = 38,399.52 × 13,131.44
  4. Step 4: Simplify right side
    25,622x = 504,240,992.91
  5. Step 5: Solve for x
    x = 504,240,992.91/25,622
  6. Step 6: Final answer
    x = 19,680.00

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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.