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Finding the Fourth Proportional to 2,661.44, 3,993.65 and 1,102.60

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Solution

The fourth proportional to 2,661.44, 3,993.65 and 1,102.60 is: 1,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.44 : 3,993.65 = 1,102.60 : x
  2. Step 2: Convert to fraction form
    2,661.44/3,993.65 = 1,102.60/x
  3. Step 3: Cross multiply
    2,661.44x = 3,993.65 × 1,102.60
  4. Step 4: Simplify right side
    2,661.44x = 4,403,373.01
  5. Step 5: Solve for x
    x = 4,403,373.01/2,661.44
  6. Step 6: Final answer
    x = 1,654.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.