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Finding the Fourth Proportional to 5,992, 8,989.77 and 3,072.35

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Solution

The fourth proportional to 5,992, 8,989.77 and 3,072.35 is: 4,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992 : 8,989.77 = 3,072.35 : x
  2. Step 2: Convert to fraction form
    5,992/8,989.77 = 3,072.35/x
  3. Step 3: Cross multiply
    5,992x = 8,989.77 × 3,072.35
  4. Step 4: Simplify right side
    5,992x = 27,619,719.86
  5. Step 5: Solve for x
    x = 27,619,719.86/5,992
  6. Step 6: Final answer
    x = 4,609.43

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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.