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Finding the Fourth Proportional to 3,884.79, 5,829.74 and 2,131.03

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Solution

The fourth proportional to 3,884.79, 5,829.74 and 2,131.03 is: 3,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.79 : 5,829.74 = 2,131.03 : x
  2. Step 2: Convert to fraction form
    3,884.79/5,829.74 = 2,131.03/x
  3. Step 3: Cross multiply
    3,884.79x = 5,829.74 × 2,131.03
  4. Step 4: Simplify right side
    3,884.79x = 12,423,331.65
  5. Step 5: Solve for x
    x = 12,423,331.65/3,884.79
  6. Step 6: Final answer
    x = 3,197.94

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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.