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Finding the Fourth Proportional to 3,978.19, 5,962.94 and 1,999.07

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Solution

The fourth proportional to 3,978.19, 5,962.94 and 1,999.07 is: 2,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.19 : 5,962.94 = 1,999.07 : x
  2. Step 2: Convert to fraction form
    3,978.19/5,962.94 = 1,999.07/x
  3. Step 3: Cross multiply
    3,978.19x = 5,962.94 × 1,999.07
  4. Step 4: Simplify right side
    3,978.19x = 11,920,294.66
  5. Step 5: Solve for x
    x = 11,920,294.66/3,978.19
  6. Step 6: Final answer
    x = 2,996.42

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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.