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Finding the Fourth Proportional to 3,918.03, 5,406.63 and 2,149.26

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Solution

The fourth proportional to 3,918.03, 5,406.63 and 2,149.26 is: 2,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.03 : 5,406.63 = 2,149.26 : x
  2. Step 2: Convert to fraction form
    3,918.03/5,406.63 = 2,149.26/x
  3. Step 3: Cross multiply
    3,918.03x = 5,406.63 × 2,149.26
  4. Step 4: Simplify right side
    3,918.03x = 11,620,253.59
  5. Step 5: Solve for x
    x = 11,620,253.59/3,918.03
  6. Step 6: Final answer
    x = 2,965.84

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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.