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Finding the Fourth Proportional to 2,011.88, 3,017.96 and 779.19

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Solution

The fourth proportional to 2,011.88, 3,017.96 and 779.19 is: 1,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.88 : 3,017.96 = 779.19 : x
  2. Step 2: Convert to fraction form
    2,011.88/3,017.96 = 779.19/x
  3. Step 3: Cross multiply
    2,011.88x = 3,017.96 × 779.19
  4. Step 4: Simplify right side
    2,011.88x = 2,351,551.11
  5. Step 5: Solve for x
    x = 2,351,551.11/2,011.88
  6. Step 6: Final answer
    x = 1,168.83

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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.