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Finding the Fourth Proportional to 3,281.88, 4,921.62 and 1,201.20

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Solution

The fourth proportional to 3,281.88, 4,921.62 and 1,201.20 is: 1,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.88 : 4,921.62 = 1,201.20 : x
  2. Step 2: Convert to fraction form
    3,281.88/4,921.62 = 1,201.20/x
  3. Step 3: Cross multiply
    3,281.88x = 4,921.62 × 1,201.20
  4. Step 4: Simplify right side
    3,281.88x = 5,911,849.94
  5. Step 5: Solve for x
    x = 5,911,849.94/3,281.88
  6. Step 6: Final answer
    x = 1,801.36

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