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Finding the Fourth Proportional to 3,291.63, 4,542.03 and 1,965.66

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Solution

The fourth proportional to 3,291.63, 4,542.03 and 1,965.66 is: 2,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.63 : 4,542.03 = 1,965.66 : x
  2. Step 2: Convert to fraction form
    3,291.63/4,542.03 = 1,965.66/x
  3. Step 3: Cross multiply
    3,291.63x = 4,542.03 × 1,965.66
  4. Step 4: Simplify right side
    3,291.63x = 8,928,086.69
  5. Step 5: Solve for x
    x = 8,928,086.69/3,291.63
  6. Step 6: Final answer
    x = 2,712.36

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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.