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Finding the Fourth Proportional to 5,257.09, 7,891.11 and 3,871.99

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Solution

The fourth proportional to 5,257.09, 7,891.11 and 3,871.99 is: 5,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.09 : 7,891.11 = 3,871.99 : x
  2. Step 2: Convert to fraction form
    5,257.09/7,891.11 = 3,871.99/x
  3. Step 3: Cross multiply
    5,257.09x = 7,891.11 × 3,871.99
  4. Step 4: Simplify right side
    5,257.09x = 30,554,279.65
  5. Step 5: Solve for x
    x = 30,554,279.65/5,257.09
  6. Step 6: Final answer
    x = 5,812.01

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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.