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Finding the Fourth Proportional to 25,756.98, 38,640.99 and 7,987.25

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Solution

The fourth proportional to 25,756.98, 38,640.99 and 7,987.25 is: 11,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.98 : 38,640.99 = 7,987.25 : x
  2. Step 2: Convert to fraction form
    25,756.98/38,640.99 = 7,987.25/x
  3. Step 3: Cross multiply
    25,756.98x = 38,640.99 × 7,987.25
  4. Step 4: Simplify right side
    25,756.98x = 308,635,247.38
  5. Step 5: Solve for x
    x = 308,635,247.38/25,756.98
  6. Step 6: Final answer
    x = 11,982.59

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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.