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Finding the Fourth Proportional to 2,661, 3,987.96 and 1,099.20

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Solution

The fourth proportional to 2,661, 3,987.96 and 1,099.20 is: 1,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661 : 3,987.96 = 1,099.20 : x
  2. Step 2: Convert to fraction form
    2,661/3,987.96 = 1,099.20/x
  3. Step 3: Cross multiply
    2,661x = 3,987.96 × 1,099.20
  4. Step 4: Simplify right side
    2,661x = 4,383,565.63
  5. Step 5: Solve for x
    x = 4,383,565.63/2,661
  6. Step 6: Final answer
    x = 1,647.34

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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.