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Finding the Fourth Proportional to 3,992.67, 5,989.41 and 1,529.55

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Solution

The fourth proportional to 3,992.67, 5,989.41 and 1,529.55 is: 2,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.67 : 5,989.41 = 1,529.55 : x
  2. Step 2: Convert to fraction form
    3,992.67/5,989.41 = 1,529.55/x
  3. Step 3: Cross multiply
    3,992.67x = 5,989.41 × 1,529.55
  4. Step 4: Simplify right side
    3,992.67x = 9,161,102.07
  5. Step 5: Solve for x
    x = 9,161,102.07/3,992.67
  6. Step 6: Final answer
    x = 2,294.48

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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.