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Finding the Fourth Proportional to 3,290.76, 4,929.62 and 1,728.41

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Solution

The fourth proportional to 3,290.76, 4,929.62 and 1,728.41 is: 2,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.76 : 4,929.62 = 1,728.41 : x
  2. Step 2: Convert to fraction form
    3,290.76/4,929.62 = 1,728.41/x
  3. Step 3: Cross multiply
    3,290.76x = 4,929.62 × 1,728.41
  4. Step 4: Simplify right side
    3,290.76x = 8,520,371.21
  5. Step 5: Solve for x
    x = 8,520,371.21/3,290.76
  6. Step 6: Final answer
    x = 2,589.18

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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.