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Finding the Fourth Proportional to 3,999.90, 5,999.14 and 2,354.52

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Solution

The fourth proportional to 3,999.90, 5,999.14 and 2,354.52 is: 3,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.90 : 5,999.14 = 2,354.52 : x
  2. Step 2: Convert to fraction form
    3,999.90/5,999.14 = 2,354.52/x
  3. Step 3: Cross multiply
    3,999.90x = 5,999.14 × 2,354.52
  4. Step 4: Simplify right side
    3,999.90x = 14,125,095.11
  5. Step 5: Solve for x
    x = 14,125,095.11/3,999.90
  6. Step 6: Final answer
    x = 3,531.36

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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.