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Finding the Fourth Proportional to 2,078.97, 3,118.46 and 618.14

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Solution

The fourth proportional to 2,078.97, 3,118.46 and 618.14 is: 927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.97 : 3,118.46 = 618.14 : x
  2. Step 2: Convert to fraction form
    2,078.97/3,118.46 = 618.14/x
  3. Step 3: Cross multiply
    2,078.97x = 3,118.46 × 618.14
  4. Step 4: Simplify right side
    2,078.97x = 1,927,644.86
  5. Step 5: Solve for x
    x = 1,927,644.86/2,078.97
  6. Step 6: Final answer
    x = 927.21

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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.