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Finding the Fourth Proportional to 3,281.76, 4,919.49 and 1,089.29

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Solution

The fourth proportional to 3,281.76, 4,919.49 and 1,089.29 is: 1,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,919.49 = 1,089.29 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,919.49 = 1,089.29/x
  3. Step 3: Cross multiply
    3,281.76x = 4,919.49 × 1,089.29
  4. Step 4: Simplify right side
    3,281.76x = 5,358,726.66
  5. Step 5: Solve for x
    x = 5,358,726.66/3,281.76
  6. Step 6: Final answer
    x = 1,632.88

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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.