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Finding the Fourth Proportional to 25,760.30, 38,629.31 and 8,895.09

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Solution

The fourth proportional to 25,760.30, 38,629.31 and 8,895.09 is: 13,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.30 : 38,629.31 = 8,895.09 : x
  2. Step 2: Convert to fraction form
    25,760.30/38,629.31 = 8,895.09/x
  3. Step 3: Cross multiply
    25,760.30x = 38,629.31 × 8,895.09
  4. Step 4: Simplify right side
    25,760.30x = 343,610,951.47
  5. Step 5: Solve for x
    x = 343,610,951.47/25,760.30
  6. Step 6: Final answer
    x = 13,338.78

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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.