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Finding the Fourth Proportional to 2,078.85, 3,118.07 and 618.93

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Solution

The fourth proportional to 2,078.85, 3,118.07 and 618.93 is: 928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.85 : 3,118.07 = 618.93 : x
  2. Step 2: Convert to fraction form
    2,078.85/3,118.07 = 618.93/x
  3. Step 3: Cross multiply
    2,078.85x = 3,118.07 × 618.93
  4. Step 4: Simplify right side
    2,078.85x = 1,929,863.97
  5. Step 5: Solve for x
    x = 1,929,863.97/2,078.85
  6. Step 6: Final answer
    x = 928.33

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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.