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Finding the Fourth Proportional to 3,989.09, 5,984.64 and 1,524.11

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Solution

The fourth proportional to 3,989.09, 5,984.64 and 1,524.11 is: 2,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.09 : 5,984.64 = 1,524.11 : x
  2. Step 2: Convert to fraction form
    3,989.09/5,984.64 = 1,524.11/x
  3. Step 3: Cross multiply
    3,989.09x = 5,984.64 × 1,524.11
  4. Step 4: Simplify right side
    3,989.09x = 9,121,219.75
  5. Step 5: Solve for x
    x = 9,121,219.75/3,989.09
  6. Step 6: Final answer
    x = 2,286.54

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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.