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Finding the Fourth Proportional to 3,989.05, 5,986.64 and 2,765.00

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Solution

The fourth proportional to 3,989.05, 5,986.64 and 2,765.00 is: 4,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.05 : 5,986.64 = 2,765.00 : x
  2. Step 2: Convert to fraction form
    3,989.05/5,986.64 = 2,765.00/x
  3. Step 3: Cross multiply
    3,989.05x = 5,986.64 × 2,765.00
  4. Step 4: Simplify right side
    3,989.05x = 16,553,081.48
  5. Step 5: Solve for x
    x = 16,553,081.48/3,989.05
  6. Step 6: Final answer
    x = 4,149.63

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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.