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Finding the Fourth Proportional to 3,839, 5,762.10 and 1,760.12

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Solution

The fourth proportional to 3,839, 5,762.10 and 1,760.12 is: 2,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839 : 5,762.10 = 1,760.12 : x
  2. Step 2: Convert to fraction form
    3,839/5,762.10 = 1,760.12/x
  3. Step 3: Cross multiply
    3,839x = 5,762.10 × 1,760.12
  4. Step 4: Simplify right side
    3,839x = 10,141,987.45
  5. Step 5: Solve for x
    x = 10,141,987.45/3,839
  6. Step 6: Final answer
    x = 2,641.83

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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.