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Finding the Fourth Proportional to 2,643.25, 3,647.82 and 1,595.38

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Solution

The fourth proportional to 2,643.25, 3,647.82 and 1,595.38 is: 2,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.25 : 3,647.82 = 1,595.38 : x
  2. Step 2: Convert to fraction form
    2,643.25/3,647.82 = 1,595.38/x
  3. Step 3: Cross multiply
    2,643.25x = 3,647.82 × 1,595.38
  4. Step 4: Simplify right side
    2,643.25x = 5,819,659.07
  5. Step 5: Solve for x
    x = 5,819,659.07/2,643.25
  6. Step 6: Final answer
    x = 2,201.71

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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.