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Finding the Fourth Proportional to 5,129.67, 7,698.15 and 2,794.44

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Solution

The fourth proportional to 5,129.67, 7,698.15 and 2,794.44 is: 4,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.67 : 7,698.15 = 2,794.44 : x
  2. Step 2: Convert to fraction form
    5,129.67/7,698.15 = 2,794.44/x
  3. Step 3: Cross multiply
    5,129.67x = 7,698.15 × 2,794.44
  4. Step 4: Simplify right side
    5,129.67x = 21,512,018.29
  5. Step 5: Solve for x
    x = 21,512,018.29/5,129.67
  6. Step 6: Final answer
    x = 4,193.65

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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.