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Finding the Fourth Proportional to 2,079.41, 3,118.57 and 618.64

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Solution

The fourth proportional to 2,079.41, 3,118.57 and 618.64 is: 927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.41 : 3,118.57 = 618.64 : x
  2. Step 2: Convert to fraction form
    2,079.41/3,118.57 = 618.64/x
  3. Step 3: Cross multiply
    2,079.41x = 3,118.57 × 618.64
  4. Step 4: Simplify right side
    2,079.41x = 1,929,262.80
  5. Step 5: Solve for x
    x = 1,929,262.80/2,079.41
  6. Step 6: Final answer
    x = 927.80

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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.