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Finding the Fourth Proportional to 7,144.65, 10,716.98 and 3,859.29

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Solution

The fourth proportional to 7,144.65, 10,716.98 and 3,859.29 is: 5,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.65 : 10,716.98 = 3,859.29 : x
  2. Step 2: Convert to fraction form
    7,144.65/10,716.98 = 3,859.29/x
  3. Step 3: Cross multiply
    7,144.65x = 10,716.98 × 3,859.29
  4. Step 4: Simplify right side
    7,144.65x = 41,359,914.45
  5. Step 5: Solve for x
    x = 41,359,914.45/7,144.65
  6. Step 6: Final answer
    x = 5,788.94

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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.