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Finding the Fourth Proportional to 8,538.75, 12,809.67 and 3,860.97

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Solution

The fourth proportional to 8,538.75, 12,809.67 and 3,860.97 is: 5,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.75 : 12,809.67 = 3,860.97 : x
  2. Step 2: Convert to fraction form
    8,538.75/12,809.67 = 3,860.97/x
  3. Step 3: Cross multiply
    8,538.75x = 12,809.67 × 3,860.97
  4. Step 4: Simplify right side
    8,538.75x = 49,457,687.53
  5. Step 5: Solve for x
    x = 49,457,687.53/8,538.75
  6. Step 6: Final answer
    x = 5,792.15

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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.