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Finding the Fourth Proportional to 2,008.62, 3,015.06 and 1,779

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Solution

The fourth proportional to 2,008.62, 3,015.06 and 1,779 is: 2,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.62 : 3,015.06 = 1,779 : x
  2. Step 2: Convert to fraction form
    2,008.62/3,015.06 = 1,779/x
  3. Step 3: Cross multiply
    2,008.62x = 3,015.06 × 1,779
  4. Step 4: Simplify right side
    2,008.62x = 5,363,791.74
  5. Step 5: Solve for x
    x = 5,363,791.74/2,008.62
  6. Step 6: Final answer
    x = 2,670.39

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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.