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Finding the Fourth Proportional to 3,612.76, 5,420.19 and 1,079.92

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Solution

The fourth proportional to 3,612.76, 5,420.19 and 1,079.92 is: 1,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.76 : 5,420.19 = 1,079.92 : x
  2. Step 2: Convert to fraction form
    3,612.76/5,420.19 = 1,079.92/x
  3. Step 3: Cross multiply
    3,612.76x = 5,420.19 × 1,079.92
  4. Step 4: Simplify right side
    3,612.76x = 5,853,371.58
  5. Step 5: Solve for x
    x = 5,853,371.58/3,612.76
  6. Step 6: Final answer
    x = 1,620.19

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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.