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Finding the Fourth Proportional to 3,649.91, 5,036.87 and 1,971.31

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Solution

The fourth proportional to 3,649.91, 5,036.87 and 1,971.31 is: 2,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.91 : 5,036.87 = 1,971.31 : x
  2. Step 2: Convert to fraction form
    3,649.91/5,036.87 = 1,971.31/x
  3. Step 3: Cross multiply
    3,649.91x = 5,036.87 × 1,971.31
  4. Step 4: Simplify right side
    3,649.91x = 9,929,236.03
  5. Step 5: Solve for x
    x = 9,929,236.03/3,649.91
  6. Step 6: Final answer
    x = 2,720.41

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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.