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Finding the Fourth Proportional to 3,281.72, 4,921.92 and 1,089.80

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Solution

The fourth proportional to 3,281.72, 4,921.92 and 1,089.80 is: 1,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.72 : 4,921.92 = 1,089.80 : x
  2. Step 2: Convert to fraction form
    3,281.72/4,921.92 = 1,089.80/x
  3. Step 3: Cross multiply
    3,281.72x = 4,921.92 × 1,089.80
  4. Step 4: Simplify right side
    3,281.72x = 5,363,908.42
  5. Step 5: Solve for x
    x = 5,363,908.42/3,281.72
  6. Step 6: Final answer
    x = 1,634.48

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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.