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Finding the Fourth Proportional to 2,078.40, 3,117.92 and 779.84

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Solution

The fourth proportional to 2,078.40, 3,117.92 and 779.84 is: 1,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 3,117.92 = 779.84 : x
  2. Step 2: Convert to fraction form
    2,078.40/3,117.92 = 779.84/x
  3. Step 3: Cross multiply
    2,078.40x = 3,117.92 × 779.84
  4. Step 4: Simplify right side
    2,078.40x = 2,431,478.73
  5. Step 5: Solve for x
    x = 2,431,478.73/2,078.40
  6. Step 6: Final answer
    x = 1,169.88

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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.