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Finding the Fourth Proportional to 3,992.69, 5,989.76 and 1,360.06

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Solution

The fourth proportional to 3,992.69, 5,989.76 and 1,360.06 is: 2,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.69 : 5,989.76 = 1,360.06 : x
  2. Step 2: Convert to fraction form
    3,992.69/5,989.76 = 1,360.06/x
  3. Step 3: Cross multiply
    3,992.69x = 5,989.76 × 1,360.06
  4. Step 4: Simplify right side
    3,992.69x = 8,146,432.99
  5. Step 5: Solve for x
    x = 8,146,432.99/3,992.69
  6. Step 6: Final answer
    x = 2,040.34

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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.