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Finding the Fourth Proportional to 25,759, 38,624.29 and 7,984.73

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Solution

The fourth proportional to 25,759, 38,624.29 and 7,984.73 is: 11,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759 : 38,624.29 = 7,984.73 : x
  2. Step 2: Convert to fraction form
    25,759/38,624.29 = 7,984.73/x
  3. Step 3: Cross multiply
    25,759x = 38,624.29 × 7,984.73
  4. Step 4: Simplify right side
    25,759x = 308,404,527.09
  5. Step 5: Solve for x
    x = 308,404,527.09/25,759
  6. Step 6: Final answer
    x = 11,972.69

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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.