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Finding the Fourth Proportional to 3,999.47, 5,999.20 and 1,078.07

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Solution

The fourth proportional to 3,999.47, 5,999.20 and 1,078.07 is: 1,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.47 : 5,999.20 = 1,078.07 : x
  2. Step 2: Convert to fraction form
    3,999.47/5,999.20 = 1,078.07/x
  3. Step 3: Cross multiply
    3,999.47x = 5,999.20 × 1,078.07
  4. Step 4: Simplify right side
    3,999.47x = 6,467,524.85
  5. Step 5: Solve for x
    x = 6,467,524.85/3,999.47
  6. Step 6: Final answer
    x = 1,617.10

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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.