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Finding the Fourth Proportional to 2,001.20, 2,759.20 and 1,645.88

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Solution

The fourth proportional to 2,001.20, 2,759.20 and 1,645.88 is: 2,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.20 : 2,759.20 = 1,645.88 : x
  2. Step 2: Convert to fraction form
    2,001.20/2,759.20 = 1,645.88/x
  3. Step 3: Cross multiply
    2,001.20x = 2,759.20 × 1,645.88
  4. Step 4: Simplify right side
    2,001.20x = 4,541,294.19
  5. Step 5: Solve for x
    x = 4,541,294.19/2,001.20
  6. Step 6: Final answer
    x = 2,269.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.