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Finding the Fourth Proportional to 3,843.06, 5,762.99 and 1,209.68

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Solution

The fourth proportional to 3,843.06, 5,762.99 and 1,209.68 is: 1,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.06 : 5,762.99 = 1,209.68 : x
  2. Step 2: Convert to fraction form
    3,843.06/5,762.99 = 1,209.68/x
  3. Step 3: Cross multiply
    3,843.06x = 5,762.99 × 1,209.68
  4. Step 4: Simplify right side
    3,843.06x = 6,971,338.88
  5. Step 5: Solve for x
    x = 6,971,338.88/3,843.06
  6. Step 6: Final answer
    x = 1,814.01

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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.