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Finding the Fourth Proportional to 25,760.99, 38,647.00 and 7,991.26

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Solution

The fourth proportional to 25,760.99, 38,647.00 and 7,991.26 is: 11,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.99 : 38,647.00 = 7,991.26 : x
  2. Step 2: Convert to fraction form
    25,760.99/38,647.00 = 7,991.26/x
  3. Step 3: Cross multiply
    25,760.99x = 38,647.00 × 7,991.26
  4. Step 4: Simplify right side
    25,760.99x = 308,838,335.39
  5. Step 5: Solve for x
    x = 308,838,335.39/25,760.99
  6. Step 6: Final answer
    x = 11,988.61

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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.