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Finding the Fourth Proportional to 2,645.97, 3,649.29 and 1,805.80

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Solution

The fourth proportional to 2,645.97, 3,649.29 and 1,805.80 is: 2,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.97 : 3,649.29 = 1,805.80 : x
  2. Step 2: Convert to fraction form
    2,645.97/3,649.29 = 1,805.80/x
  3. Step 3: Cross multiply
    2,645.97x = 3,649.29 × 1,805.80
  4. Step 4: Simplify right side
    2,645.97x = 6,589,887.88
  5. Step 5: Solve for x
    x = 6,589,887.88/2,645.97
  6. Step 6: Final answer
    x = 2,490.54

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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.