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Finding the Fourth Proportional to 2,833, 3,909.54 and 1,591

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Solution

The fourth proportional to 2,833, 3,909.54 and 1,591 is: 2,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833 : 3,909.54 = 1,591 : x
  2. Step 2: Convert to fraction form
    2,833/3,909.54 = 1,591/x
  3. Step 3: Cross multiply
    2,833x = 3,909.54 × 1,591
  4. Step 4: Simplify right side
    2,833x = 6,220,078.14
  5. Step 5: Solve for x
    x = 6,220,078.14/2,833
  6. Step 6: Final answer
    x = 2,195.58

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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.