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Finding the Fourth Proportional to 1,999.68, 3,001.32 and 1,445.04

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Solution

The fourth proportional to 1,999.68, 3,001.32 and 1,445.04 is: 2,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.68 : 3,001.32 = 1,445.04 : x
  2. Step 2: Convert to fraction form
    1,999.68/3,001.32 = 1,445.04/x
  3. Step 3: Cross multiply
    1,999.68x = 3,001.32 × 1,445.04
  4. Step 4: Simplify right side
    1,999.68x = 4,337,027.45
  5. Step 5: Solve for x
    x = 4,337,027.45/1,999.68
  6. Step 6: Final answer
    x = 2,168.86

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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.