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Finding the Fourth Proportional to 25,757.97, 38,642.49 and 7,988.25

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Solution

The fourth proportional to 25,757.97, 38,642.49 and 7,988.25 is: 11,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.97 : 38,642.49 = 7,988.25 : x
  2. Step 2: Convert to fraction form
    25,757.97/38,642.49 = 7,988.25/x
  3. Step 3: Cross multiply
    25,757.97x = 38,642.49 × 7,988.25
  4. Step 4: Simplify right side
    25,757.97x = 308,685,870.74
  5. Step 5: Solve for x
    x = 308,685,870.74/25,757.97
  6. Step 6: Final answer
    x = 11,984.09

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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.